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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "<div style=\"background-color: lightgrey; color: blue;text-align: center;\">\n",
      "Manual Polaflow V1.0\n",
      "Versi\u00f3n en espa\u00f1ol\n",
      "</div>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"background-color: lightgrey; color: green\">Introducci\u00f3n:</div>\n",
      "Polaflow es un paquete que calcula la propagaci\u00f3n num\u00e9rica de un estado en un tiempo inicial usando el m\u00e9todo propuesto por Shao Wan modificado para que calcule con terminos de no linealidad, decaimiento y bombeo, adem\u00e1s de que contiene funciones auxiliares que facilitan el an\u00e1lisis y el manejo de los datos obtenidos.\n",
      "\n",
      "<div style=\"background-color: lightgrey; color: green\">Instalaci\u00f3n:</div>\n",
      "Para usar Polaflow es necesario tener instalado python2.7.x,  NumPy 1.8.x, SciPy 0.13.x, Matplotlib 1.3.x y Ipython2.1.x [Notebook] o superior. Luego de cumplir los prerequisitos se deben poner los archivos ShaoWangV3.py y Ploaflow.py en el que ser\u00e1 el directorio de trabajo.\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">Ejemplo1:</div>\n",
      "Oscilaci\u00f3n libre\n",
      "\n",
      "Definiendo particulas:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from Polaflow import Particle,Polaflow1D\n",
      "foton=Particle()\n",
      "exciton=Particle()\n",
      "polariton=Polaflow1D(foton,exciton)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Se define las funciones que se usaran, estas pueden tener cualquier estructura espacial"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gauss(x,sigma=20):\n",
      "    from numpy import exp, sqrt, pi                                                     \n",
      "    return  exp(-0.5*x**2/sigma**2)/sqrt(sqrt(pi*sigma**2))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Se inicializan los valores y se finaliza con Object.Refres()"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from numpy import zeros,linspace\n",
      "J=2**7\n",
      "x=linspace(-100,100,J)\n",
      "t=linspace(0,40,2**7)\n",
      "foton.Psi0=gauss(x,sigma=1.0)\n",
      "exciton.Psi0=zeros(J)\n",
      "\n",
      "\n",
      "foton.name=\"Foton\"\n",
      "foton.mass=0.025\n",
      "foton.Potential=zeros(J)\n",
      "\n",
      "exciton.name=\"Exciton\"\n",
      "exciton.mass=2\n",
      "exciton.Potential=zeros(J)\n",
      "\n",
      "polariton.x=x\n",
      "polariton.t=t\n",
      "polariton.rabi=2.62989731\n",
      "polariton.hbar=0.65731\n",
      "polariton.M=10\n",
      "polariton.R=10\n",
      "polariton.name=\"Polaflow\"\n",
      "polariton.Refresh()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Se puede verificar los datos de entrada"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "foton.Gsummary();\n",
      "exciton.Gsummary();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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lS5bM8f5JSUmmuQ7c+fTTT1XdunVVeHi4yxvcXO3nwoULavDgwaps2bKqTJky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\n7kxj5fVrAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f257860dfd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fffWVK8+sWbPo0KEDVatWJT4+nvHjx7umDx06lLCwsFxDTEyMN89///tfOnfu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\nERERERERERERESnTP+cS5r2m+0YOAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f25702e2b50>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Para calcular la propagaci\u00f3n del estado inicial"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h02m58s|\n"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Para guardar los datos generados"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.Save()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Saved in  DataPF/Polaflow_2014_08_05_17_23_40\n"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Graficos de salida:\n",
      "Para un gr\u00e1fico de posici\u00f3n y tiempo"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "foton.PlotXT(contrast=1);\n",
      "exciton.PlotXT();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YwhepqIapUQvXiWgzKAsZVm0uRe/7MOsp2c9X4qD7K9YeTD+GN8fw+bsKDH+v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\nsWocc9x48MdcOC7Pfi9w4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       "text": [
        "<matplotlib.figure.Figure at 0x7f25702e2710>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XeHtFS04T2cdpqj9uthzxPoFjKp0Uux+Vjrs9NPZ8/ul8tIYU5hs397i4Oyvl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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f257865ec90>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Para un gr\u00e1fico de dispersion y energ\u00eda"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "polariton.PlotKE(contrast=2);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ES1jLuecZQ2FKfTEIU+oJpI+6CCZnW3ZUFXk7QUXGZcAqSGWgKyEJyMsI5oUC\nMD4EMwn/zUgwh2wr+0UrSbYTsIpmKN0rQJlcBeevi0bJ0wrIJuCSFHxzqWxGfQzW7SBx0za8hil1\nlwFma6annL9W5jXhUuNbmnntsRgvQERlAnLAczB9Hk5nIedTvgpeQE3OI++RIyjs5VIZ1UJPIQNo\nK7qJcu03mQ0bWLIqGOFKRnkA6ZihGl6z1lBhGyJPK4e5imC7L4ta+Nbd9kog7XMj0p8HEDN7ilKL\nXYVdJ2mfJZVPCn0x57+d8mMyowWYmUYKuZXzX0cJ3aoxj8iCLT6m9FtXhm2sKCxY2ijXYwFSF8GX\nvgZcQbRFsarFc5C/CO9rz9A45otLm9axoC5aGzOym6mkzOeas6F781Y/oUak1PPAMBSmYLQVRtso\nXYoWnMMVfnvYRmlHlADMbtjFIuxcUjlwgKtI8FUu3nCYZ462sdhodf0gkfZVvd9mdOISTk2tRgSm\nHskvYUo9gfhPdP9Ot8BVOepXCoopmPCPkqVrjsA91wyWpEcpBz3pfOYqcHcCbQZlrijC0BoYfxz6\nXw7HczSnXCuSkN4PI9fDyVMNvA/bpwnntWXBzEdjteOj8Rml8yCDONLX+4dunWV3PtIsQU0Vt0lH\nRfMXpCHGgWcJzLkoBoT6SpOs7FnOrdf8G88c/RkC90+jB6WFrmha6e26ly1rdvHg06pYtERDPeEh\nfXoPkm02TmkGnSpp62fUZaly1dsp3fkohVj7RxEam07ojYS6gbRWjS3oZdO+1f1kB63rImyGbe62\ngvcteNWV8OkTNI4iWAlGIZ2Di6+D3c80+mYIxpzC1lWybkflo2seDki/a1npCRqdfLSAS2mAwPqW\n3B2ObHKGm2qug0A5wWeQin0QNb2we9l2HnrOQwZzs1IbpXsPnhwn07Ez4mtr/51D6lyri6IcT9ta\nMGE7Iqms2IS0ZoK7TZm7ZZnlK9u/YdZ7I9ENqWWwfx8RJXhViRRwAFa8BHLNMLkr3P50LXI3Aa+c\nvFSPiCx1D7HIB3m+rgdpAv+RXVJPEvjU1bqxxH6bMGMbJyxYWmtooM/j8PgPkz/+B4iyaValDnCI\nQvY6vnf0ZUgJkwTRuC0SBLtEjRBYpNpnMwQCrGWY8wQ7YE0QFPRq9c+lk/kg4W6kRkBdhbrqzDuf\n5Z3DJszNl7jVIExfBffdAeyiuVehz8Lpt8CpZimu5/anGjZ62FiL7g/g1n6x8ZfqENE0rA+kFroO\nVI0Aa8kmBBSHAAAgAElEQVRJGzywFjsEDWItOjdrKwrItWYmluGlOiTvMKtVBJtFuftC39oKlxyh\n0HkjUyPj5rMo7wOCALfNnrP9avvcLktVVlRelC0QthN7o+DS1WzKtz6HWz/byrUaJU0E72IofAc6\nroVEdv7vRw6VpYNQuATyw/P9IGLYPrXuF1cW3BIBdpu7pme/6MDNIoq8m8Bi1F1srCWu71s+b+DP\nFpRjDtQb/rUmzsPaG0j17qGQ3QbTajk2g0Xjt3e2hcTwQ7DiVXin67ntXznYa1mlbl9bgVeFrnx1\npTq2oisksfCzNI9bwA5a5dtbNoNdhkOw8rS5FtA8sgNCzxyCzmWQy4IXVcxqAUgch/TFkEzC1Eij\n78bApTfOpdStgaLW/DSLNRAjGhn2wTLmr52pWpzPk85f+1oHg86Gc1VprDV08OXoXrWRtgc/Tzqh\n3ORmQpo0A7QkJujt1v0+o0xqUQUM4ZtCuH2qh93WzvrRrdwsfiOB2iNs8NpnK/d9RTOt9DxovRp6\nvwbJFpqrnQGSkHgaNr8GutRF2wwoFyh1EZaMZHXb4hBhb9kMuymCkqTaKep/dCmM5YJMjbJy9L5m\naE11M3NmAFYnoKWZfOsJaGml2PIUG2+6knRukGDii7Kdwuhczn2W+Bn1/qw8WDmxyTvNYjm6Qfyw\n8tBhFF33HM2EIrRcDme/JFngTeeCyYC3Bza8AhLNSLsM618rB1YuCiHvL26cRmRe6u42YwglLUeQ\ndaeBMQ2WajaScn8tDawR7pZyKDL0XAfJtpvIbzgC4xvgZLMsA5OwvJti7iHO7XsvYweVQ91oqMtB\nX6tlon2tQq1p9TkCP7oGV3NIFnEz8dTdCqMJ5309dGK1Beys67EZ5NrHRD/kPwVd22D6FBSaxQWT\nhNQAeCvhyQkYbpYxB6V9qW5lbTNrjFjZ0L2YrdwvCZ56ksCfvgzh86qPfIqAl6mWm83IglKrzw4G\nbbAWSi3RKIQvwfSIR9q7hq6zX8Dr/nXGTrbQ2AGqCjNLe+tJ8vlxRg6vJz96mFKKaL3vQV0LaQIX\njLXKLX/XuiysP73DP9oJ/NQFRI5yCIOqGdwCyvLRDT4sT11XGLo61fwAuxE1lK5K7f8NxEwRkhdD\n/wNwoguGz1E6HqOGtk0aUo9B/9vg+Ek/ltVouKtQN8nIZpCqjNtNMiDwp0MgK9UhIqWeRgJea5HU\n/mUEjTCJUN4GCGq+ZAgSkHQm0/oIVnGrVdSBTAx2O6h6QyzM9o4O8sefpmf9AGO0+fcdFW3QhU6U\n7WQm7+T6H17N7n89yOjzFnIUg9H6CtuRfvWY7Ve39TA0pqKKUWvA9BEUfsE/z5B/jjGaI46h9d+X\nIYVqOghWoXYFOk6wk5e1yHT/SrcWd6NXIQVouRKK/wI9vwTDWYLx1kjZTkHhIfjh/wUf/zZMN7qd\nYDZbxVJ1wwgAmlCnrC5dhU4Q0LOrZ0RFaOrYkoxjiJCPIko8bBu7aXPY5at1xaSQgX8tkrFqAw5R\nPJrH9Hia5ZuuJrvqW6y8apLZAbAoIZbBiqsnmJq8n+nRm5mesEv9el/blnBYgfCcewmYK9p3tmqh\n7Wflp48jMjKCTPSj5j3NOm7kDjcu3MQpa6m5jJ+Ec0DpZOta6Y2ib3pQ3A4HHoLLWmFjXwPuIQSr\nB6FzOTwxCdMa/I8aSs9WuH3mMp7C5MGlbaed71aPiLRPkaAk41mCTNDT/nEG8bUPElRnVAtHLRvX\n36Q+2V7gMoSG5XLc6w2PydEUR/e8hXPP3kfPZVr7o1EBUxGcjv4jpFqL3P/3r2BqPKoJxra79sul\nBP1i6/zoBK1uCbVox5H+H0Tk4QyBjJwjkJsRmif5CIIJSw2QMGNkrnpG9jncSbhRrBgPpoowcwVM\n3QP9fQ26D4sEJB+Hq94Kd+yBKS0O14D7KLGk3T6bq5/dOIuVFTVaF/dMEa1fZwg2xhhBlhzqTtHB\nrda5fTg3oBQWVR4H9iBKwGag1hs24LWSyaksxw/lCfz7jUARyHDyqQO0Xv16OHGeUmVS72vrXw9R\nvnsRZR1WQMwGg1Qh6jJVt6trJeDyat6CujJGaFw7WxSQ1cUAMtFo1U7lqeugVZm2ATPL+ML8zqIW\nWw5WCw+4Gh76LKy8FhmzjZxIi3DmPtj+W8ADNLZd3JWiDZJCacawZW+5fnW7ElNPxgSLcXFFmFEK\nzy8tUgXIzEBSb9zlKrtWn13aurVhJoDnkEmjXKGkej2Tzrwj5Df/F9LP3cWG1DilHVVv68ZeJ82G\n5DD5o99hZNmPEqTnR6XUS9sE9iP9o/dn+9Tyut3+tnLgiZxkZkRuyrotGgn7LNaP6srrfNTcsPca\nmZTkAf0wOcGKlkdZuUFLOyiikm2AFN0rniTbthaOaX3+RmE+uq77XpgbxuZsuPKyOERkqbcAq4Dt\nkNgA2bQYYeMeTKv1NYpYOWP+6xylFo52omvBjxM0sioLd9asF8xMfOQSZs5/nNe2reYT4y8x963W\nTT0GpgqIXqeDSzNfJkU7h747Tq2Wc5XDRvuLiLst53/mlgKA0mp1WSRw1IUES3uQgGkLpJOyC9Ik\nMJkH7whSobMZ+NMZxNW0CegncDdp4GvUP9QC0w0z3M0yLN3NWnkpou1DFx5wAyt6vsj2227hyx/f\nRDAWo5JtgBZa2x/kilsu5d479hLN+C4Hd9y58RJXWacpLYuiMt5F6aYqQ8BxZHu+6ouURaTUlSft\nF2Py0r6cuktqW9DLlii1S3Ur9Pq/Mk6sLysq+IPvJPSletlbnICWfpgaIrqAqX+dlvXsyR9jZ3o7\nh46dIXploNdSt4L6kq3VaSmrlk1hE9PSiPLzOexeEgp5/2e6Q0wUBdwqQRG5b921RktauGWlVZnb\n+JCbfKLnm8sdEyV82c5fxv49d7Bi7VuR0tlPE61sF4Esg6fP0dW9FXJnaa6yCqqTlKFjrXa9z6Tz\nufa9umR0davGWNPz1HWbulHw9sFUyt9Upc3/XC0XFXjrc1UFYWHdOSnzeaM6uQiMc67wGk5MPQg9\n22DqcYJKbPW6LxUm/zotRc5MjzM29XqCvVOjbBMriIZXXNIG1sKapLSIka60bGmArPx81Lf4PR0I\nOYRC2GjkkXjOGHCIUgvLGiaWjmvdhC7c9xpN2SsAHRRmtvLAV4aAS4DvE4y7KGTbAx6iWHgjd//r\nJha7M1Bt7k2v71ZlhNJYj3XNqSVfroSErU7bX/XdRaTUU4gC7wW6wWtHls5qwauFrrx0DZhaHq8b\nYbZL1bAiX1EhcMFMcSnZlq+w88V/x6N39BDQ++ol/FZAkqxd86cUV7yY0wc06adRgm9pnbpacFlB\nYT50W+VQOb2t4GkBL1Xmw8ymlTUKSeQ+uwiSpaC0zIG6ES3rwVXs5Sz1ZkCRYuEl0PI5Vr/5Bzj9\nb/r+XO4XtUrnehY32dD9TGVoikT23+m88o8ZfniIxk90YbD369JY3WJetuaVjl/1OChtt3qeeoTJ\nRx0Id3ktQVap8o+VzjaGDFxdXtsB4Nb8sAFAt9JZ1NABnOCyF+1g/NS/0JN9F0PT6jOuVzJJEt0M\nuztzjsHjD/OKH3s7Xz2grolGMRVUmK1FY4U+LAFJFbomZmhGqSYkaYLZMHASUZLNotTbkHyJ5ZRW\nIJ0mkG1ruFh6rq4yrU+9+ZQ6bCTdCR3rv0pPVwdDo50E+QfllPp8E5SNv4R9Judvzd5P27WX0nUD\nDD/cSDbQXLABcVXIVr4ziFzbBCRbAsNDZPs8gSFb/Z1EAI/Suh1DyMAcpjQZSQVfLRuXm27ZFWG8\n0EZCVhUDp1/P0SeH+amtd/jvu8kjttMr4SBbZeh+X1cCcFXP57hozZU8ce8VBCucRiKMfx3Wj9bt\nZldtur2h0htP+X81iB5lZc75YOM81uK2zzuXy6WZCpSFQe492fI6zn3mC/zGu75LUElzLhUyV77I\nfLkkSf/8RTLpe7l4/Y0M3Knt2GjZngtzGVP23l09Nhd1e2GIMPnILke13ovlpVvLpegc9kHta6vw\nGj0opDOPPL2KddmbeeD8Pl50zVFaW/KUbr+20Iwxlxqlr2VZ19qaZ9flT7Fn6DSdQ6/m8FM9NMck\np9e3bpewfnT7WuXATurTBIFG65prluQjvW/X3WLZW9a/7oUc0Pg+Kwfpp8mjl1EYnWIkd5QrX3SW\nbKsyzqxs299Uem5FqWy3tBZZu/GbXLatlezBbsae0gBiM7aT7cewPrYyoDrPyon1TCxOriPMZ1cL\nVQNgHchMnDV/bc1sS4HTWw3jA+v5oDkG+TADkzezZ6jA7T/yeVb0DRI8nz6Dna3nE1AbS1C2SBJt\nt9UrBuhf93lW91zKvtFeJILeaOj92j1FLQ/X9T9qn9r+t3LRgsiLrave6OxGhUegzLX0ha48Jwhq\nGNnkI5f5omhWhaWYIJH4Af78MyN88I/voXeF1mmywW6FPl+557GrF4WeQ/q5d8VJxkfvI9PxCh7f\n14K0abNirpWpdSMrwytHaUkMdUUraaR6OYhQqauPUZfW+kC23outs24DpZYJ486ASWAFJC6GxCpm\nb4kXNaYYnEnT1n4r//vjo1z/2lOs6LfCaAN8YckGYf9bH12gzFauH2Pb9U9z931TjPFqBqc9fFpR\nxLCKOQ2J1ZDYgfiYbazDtc7DrBfNLrZ1YCwtUJVksyzBla3TQsA9Vh5yJxI41cxYu8WdW/tDzxW2\nkmtk6QmLPGMTlzE13cXn/3aMl772CKv6x/zPdKJWA2uhsq2bXIu8rF4/Slff17n4qjXsO7yTwRGl\niTYa1iCx77mraHu4wVHlrKuMqMxoPGlx9X4awFNPUlrJUN0xOoOFlQnQAezOXqog10PyGvD2gmd3\nrdffRE3rm2F49EZGxx/nJf0PsWVnJ+eOryJQcK3+PWYp5aQGwaHgntVyLSCKQ9tuhi2Xn+LAs9+m\nUHgjZ88vd84VFWyMwBfgxDZIXA6FRwkCP2F9B6W+dXVVaT0YVZY2mKSp1NM0x8pMqzT2AGuQQGmG\nwGWklliKgJM8RWl2oRowlsVlJy1NTmn0RCZymc+/iS/93af4xH+2ceJwG2eO91NqZats67hXbraV\nbf2uJvHY8hoF1m56kgNP7ePUkQ8xPtrKbPZbo6CTlc1otQak9mlYFVINlHYTKHENls4gq+wCIjON\nrdK4AbgLeBJ4Avjl8l+1GVcupc1mZZWjv4UhD5yB4gHwBpht4TeC4uhRLKYpFH6Wz/7JQXbsPMLV\nNw4SbKI8QzCYbbKCLkltzECX90n/d3KOa14yQCbxAMPnO5jI/SCFYiPZP47F7Z2X/mCuBCi3T621\nY1kErqyEyUddUKFca5/pJjBuZUldZVi6blhxOhs8DuOqN4NbRu7PK/bjeS/jD352iFuuPsyN154i\nUFCqxN3EM1e29XyqyKf933dw47XHOLX/m+y4+qWMDu2gWEiG/LZRCGOyuYFwa4xa/7mNJyoJYBSR\nFyWNNIf7ZQZ4P7ATeDHwC0h5Pge2kE27c+hs1ULprus6oF1/rCsoJ8F7ErwzlPosGzWzS4d43mVM\n5V7Hg9+4jytuGqSlow2ZpTXApELvBhMhUGoJ5/vdtHS2seniA+y55wkGTn7AP6f9bZSwQuy3vXca\nvKcQxoqbnOHGRcJ4vLo/aRuz5UQLIdVdsVco10GeAuQgMQqJEUhoWQCX0RVmdOjEXo7S2CxBYe3r\nBHA7R57LMXJ6Hzddf4qOjhaEqqxWuJXjsGC/lXd99mV0dGSBu1ndl+Dhu37KPyc0T7yhnFIP68dy\nwVGViZzIyfPyoqyuxT1rLdwvp/wDZKp5Gljn/zWX6UDqv6wjqLGtS40x8zcsuKRCbRvMdVk0SzlW\nvb8Z4Bjw45w+9jCPPvwYN/7IVdz9ySuQpdcpAstGSyN4iMKaIfDVtvl/J4HVwHquf+t3+M9//zYr\n176e8dHtSCbj4qPmtYFk18r9qOJ2mTBhWXU64asiV2661sfQDMYh4ASL3UigAlQg1/j30A1sgMQG\nSGcgk4QZD/JF8HL+PaslpvJty2Goe8Vyu5s5gDqNNM1v8tef+SDv/unT/PAPHeHTf/djSHG9I0ib\n5AmeGaQf7esupP1GkYXRdm668Xd44MHD7Nz+HiSv5SDNUY3TwvWrlyNxqItJN8RQuV4G9ECiTeoa\npRMiK/kZpK7RJI12v1hsBq4BHix9WwexFrPRnW2W+a81E099ThpMsla7G3xwLTWlSDZa+O0sPQgk\nGR3+FfY/up+x8YfpvqEPrtgMqRYkzb2d2cJgrdh2YAWkW+DKLXRd186++/+env4dHNr3BmTAD1Bq\n9TUSHoE/WaEC7x6uhW59j5p81EUgK8v8/3Wiiyx4uJlQuYZg8u0AeiGxAhLLIdEn/z9fmKyTYKcb\nGzAtJ9vuqrSZUEBiJVuZyf8U//DPj7Jq3SkufvEUq67tJJluAzYiz+6uwOz/PcAGkuk2Vl3XyabL\n93Df/f/BK19xGw/svhZ59nM0PpYQBrvqdGU6LEBqg6PLEFnpFVlJLhe5oZeA5dUcgdJO4HPA+5Dp\n2eBOAoV+q39oKrul9uiGwra2ult/2uV+QnMlorg4BWRo6fgAe778Efo/sImRi98DP78XxlYRBP10\nZlbaYsJ/PwOsgvbz8KsrSfzVTzDl9ZEfeCfSdqdmX7IpoKsV7SPrbtIgubVKXV8rBP0/ThCAuxtx\ndY+ye3dPXZ/AxxxyDfAN/yt94L0W8q+DQgq8GfC0SqMmTWn2tJtcpz5U6ze28t2ssn0UuJJ0+vX8\n5ce/zC//fZ7HMi/hP96WZHp0C4GhpWqmYF5PI4puM5nOA1z603ex+7c/yvW3voXvPXwrQSyiGWH7\nxgZ/3ViYDRDb2i++S7XYDfk2KGTAy4P3NeAOYJDdu7uqvrtaKfUM8HngH4Evzf74Vp4XfJYjbgkN\n/Lm736jfqeAcUDr4bSM2SxDFhYcsu9MMnVxD7w2/zvGPf5T0yz3e8vrz3DW+i3N7uuCYFi1S/7nO\n0mnY0M3Kq7LckLqXOz78SVjRTnrNOzj/3QLBvqzNCFdJ2edKOO+rK04VnNJbxwms2oz/3XXAa4EB\ndu3awZ49/1TPh5hHrgFuQyysNcBqP0CsQXCt0qjK3Mq3yn45+YbmlGlFAnF5ZhkaeiPrt+X46O1f\n4pKP7OTS5GFSr1nH4X2TnD+g7kRljKiLKcOKbTk2bH2Kwfu+yH2/fR+v+7lbOHrfNRw71oJMhPb7\nzYawydeV64L5qwas1ncZBjqgqBTGAiLbbwBOsWvXFvbs+ceq7qwWSj0BfBJ4Cvho+FdUAXkEVpe+\nb4Ns6juz0d+5KI32/M2KHKKYJhnemyax9sMkvvNJjq1/lNUfuI1zhXVw7ARBXfgCwazeDlf20n3N\nV3jwY5+hdet/ZfzUNXjHDhLsSN/IzQLmghV2mD0wXUqjvqc8e5fPrSsZ5bHXfZ/SCuQa/x50M5IB\nZldptNZ4WAVS20bNrMQt1PpU2TvB6aMvI7X5Uh75hT/h+twUr3rvEHf8862cP9CBuCG1b9uR5+yk\n/5rDJEf/kvPjh8h+6Ev855dzTO0+hJQQ0fPPVV+mGeDqHpVrrU2kE5OtQGoLe7lVGpWyW30coRZK\n/SXATwCPAY/6730I+I/SrxUIgkPWlW+XY25pAEWzdmglUEqiR3HKgzMe7dt/j9aW9/Pgu99L59Yr\n2Pxjm+nf3ENfdpIDic1s8Q5wZijJkX0nOPK9P+Honi5++LYX84XnXkHh1HMwrW1lLYOlBjtp26B3\nkdKAIZQqb5u0VFdUKNfqZtIidJZrrn/LJc/B0uw/1zotMDOVYmbwMjI3foz9d/4Ke37ya1y5/Rg/\nvylFdjTDqbEUl22Z4fEDKTJtQxxMnmfPl0+y6uYXc2nmIh7d3cXM/rMwbamejS6pXQ3svdo2UiNM\n9Z9NzrIyoyu46lELpX4PFQVcNRHBQhM39KFVAV5oMApo4jwTe0e4ix+BnW+m/7o/Y+j73+SZL56g\nsydDobWDxweGSWbTbLx1Gzvf9U4e/fJP8JnP/xOiW+wmxhcC3Oew9E2bcBT5aqxCuYbAYLGyq4PY\nloW4kGDjHv4kdeYcM19v5Tw/Dz/0Ijof/jW+fuYpTk16dJDg/sNwesZjUyLBG/vTvOblb+e/r/g9\njt75Gfj84wRt6DLclirmun/LCrPW+uKrUDa4dmmRILvuQhR8F86kdfIQY4dupXfrdtZsPkcyd54z\nhdWsyZ5npqWXqUQfp+9bD8ef9H9gg2oXKuxgnmJpDe5y/OULGXaVlef54OZDMJl/Nzf27mVwZIAz\nuQLrlnVydqbA6laPU1Pd3PvAVZDch7RRjlIG1wul3aDWLrgGKHWXqlPOJ6UIe8iE8zoF9EIqC4xD\nQX2czSYYqqB84R04zPG7MxwnQ0Dda+MQHWgw6fktAJ+fEJrxueB5eldqGdAOhWnkvt0g9nz9ab+T\nL/OdZnz+F4IiCoN1I+nqxIPHjvIAy3mAXUisIcsjp5cBwzAyDSN9cKIHIU0oDfaFotChnu7liJW6\nrRNSCcopMDeVvA24CVpXAs/A+PcIGDTNBuuPtEXMQJ53ktmWarOzfOD5BKLWK4AdMH4a+C6lFth8\n/VkpmrkdXqhQmdXxrSnvOYK4gwYA1aU2TKn/uFkNlqWFBljqteo0lx0zDMUkwd6czQzXEi23FLO1\nMezvmhG+0i6OIYkpWpzIBgfn+32MpQ3XdabuQv3MZnwHxbsEsUKvFSJW6i7NrVpYJagR5ftgUvnB\nS8XvbLnb5bBUlqO+Ap98DGEB2sD4fPff7JNwjMpgx7etGe9+BqXKHJpzVb000QybPC4SqjCmlobu\nK4EtD1zu86X0UJ5kUjZdrY4YjcFchchsgDVGLXEBKPWljPks1KVipceIEYa55Nem0ceoJWKlHiNG\njDqgEndKrdyxMSxipR4jRow6oJIVZrwKrQcasYlnjBgxYsSoEy4wpR7ZVmcxQhG3f4wYjcYFptTd\nQjkxokXc/jFiNBoN8qlba04rDS42YJJEara3IEkOw4s8X4yFQ9tfy4culn+u5UptKnrMaY8RYy40\nqPaLLRWgm9TawbrQAIou+3WbPN3RPUa06EFq2AwT1M+vpi/1r914WxHTPGPEmAsRKnUdpLrpgXsb\namFDeNJNWOEvPY/udbkW2RvxNHA85Dcx6ocUsAnZXPwwsrdkkrnTwN06QLZPWwgyElPOd8J2dI8R\nIwZErtT18ELeV6sMZgfayllm7vftRrAxoodO2gnnmAtuxU3939abDpOXOBgbI0YYIlTqaqm5g1E3\noLbVCSvluForMA/sQ0p52sJBMaJBEXgcsbAnmF1hMqxPw/pI5UM3KbY74ChiF0yMGOXQgIJeYW4V\nLbBfzfns32HEnx4P+ujhIXWzdSVWyaQa1ke2+qb+H0/QMWJUiibIKK2lbzQe/I1Frdv/QtzaMEaM\n+iJ2PseIESPGBYRYqceIESPGBYRYqceIESPGBYRYqceIESPGBYSIAqV/hSQFbUQSVDqjuWyMCwwF\n4BRwFDjK00+fbPD9AHyGQLb7aQruQYwliBwi10eAo0xMbKr6TBFJ4OuQm30M+CrQjgyCzYiS73O+\nPxcdUT9z+e5+AlNrH7SvgvwMjDxHsPN8THGsPfwkoEQKurZBOgMTZ2BygKDdLcr1nXtOxSSBoB8G\nTgC9wAbgYjZuvIH77/9ELR5kEdiF3N83gLPAGgIlvxForeG1bNJVzPSKDurQqJUeUfqvKHA5RhCj\nYAPwMrLZ6g3fWij11wAfRVIA/wb4o9lf2YAo7zQilOeBg/7xLUQBbDbHKsp7hpQC6aaYJ4E26LoE\n1r4YJkZg9Ch4U4QrmBiLhz+RJtpg9SugvROO3+dvPp1jtuIp13cg/TOICPhh/xhEZGcL8EpEhjL+\nefJ0dKyo9QO5qEC2L/UPkI22jyGD9QHg8wST0CZEyXcv4nY08zrm7kcLzZKuVo/kgZOUKvE0Ig/r\ngeuB1Vidl05nq77bxSr1FPB/kRF3HPge8P+Ap2d/VTNAk8By/7iOYDAfRAbyg8istZ7AXbMeGcx6\nHpjNb/eAKZg4IgbT9CQyyJba5s1LCb5y8aZg8BEYa4HcUcTCDtt02PZdARH0wwSCniSwcHcB65gt\norpLfd37dAGyrcgCW/0DAnfRYeAJ4A4k49Za8iuovORBvP1bY7CQTHeQjOrAlSIysByZ3C8HXosU\nHqwPFqvUbwCeAw75//8L8CbmVOphQtmBPOzl/v8TSIMcAe4EziAzmR0Mbc45/HTy8QNyxIgAfp96\nBTh3/zzfzSO68RDSr8cIrNhLgVcjgm4VXDl5iQQLkO1ySCFL6n7gJqS9zhHI9j2I4bGRwJpfQ/hK\nBmI3YqMw36pojGB1eRgYIjBKb/VfV295LxSLVer9yFSkOAa8aJHnRHzul/gHiOAfRwbCQ8AXEAVg\ng6/1m/liVIMZAl/4YcQqX4X014uAH2L2xNxUqINsJ4CV/nGt/94IQTvtRRRCP0HMaT1i3UPsdmk0\n1A0zTOBZOASME7jXrkKqxTaOWLhYpV6h2XC3eb3ZP1y41RstsohfdYv/f5FgWft94OuIe2YjsvTd\njlj/MaKDh5Q83g8cQHTgGkTYX4ZYoguxVsrJwyHUeN69+/vV3mwlqKFsz4VuSleplgVxF8FkuBmR\na3VFuhVPYzdjbWDLP2v7TiFK/AAi3+OILtqM+MNXUZuqoYeohWwvVqkfR0arYgMymh3cOs9ptCEr\nXWonEX/rOuBGpOHPI0p+H/AfiK9yGzIQ1hGXaq0HpoFnkTbfj1iUFyGei7cRWJjVIEm4otqMKs5d\nu65hz57PLuIac6JGsr1QtAE7/COBrHiOI0rlTkTOL0JcVjsRerAEjuW7MRaHtH8MAk8i3rajyOpp\nK/AWxFixjJhaYTO1kO3FKvWHEa25GeGbvR340epuI0s4Y6ISJBAlvgJZ1hYQS+dZ4Ev+eS9FrKGN\nxLXLs0wAACAASURBVAp+MZgAnkFWSIcQXXcJotx6a3SNJEIFnKaBiqpGsr0YeMjY2OQftyGyvB+Z\nSL+KBOCu8o9e//se0m7TxEXR5oLqHSVhHEXKRz+B+Ml3Ai+llHU1Vynp5sBilXoe+EXE/5ECPsmC\nAkn2NtqpXR30FIG75tUIJ/RJhH0wiXTWFYjvK8b8KCBKZC+iyLcibfgWasvDhmDV1o7IQsOUeo1k\nu5bwkPZWd00BUURPIszL9YgSUtf/ILFSnwuqzL8HfAfRP1cAb0Z0g1XcS6cda8FT/5p/LAIFSjfJ\nWCysX6yAJDfd7B9nkNn4s8jS9TpEQWVmn+YFj0EkMP0YEty7ClHk1q1i27oWfl0NBiotsqGoQrbt\npur18nPrOZOI4bINUUQHgUeBfwauBF4BXOZ/bwTpzynC9wW+UKH94SFWeR8y7h9DCBf7gWsQd+FG\ngtVhFLktduzUrj8i3s4u7C/Iw0yFvG8xXwOb3yXSkGzz22mcUuWwChH22xDG2vcQX+W1wIsRC/GF\nDk2eOQRcDbyb8q6VJCQ7/K1Dc+BZi2YBfTYLumqz9L5mX/q6m6pD/SemIoEyUPrkq4CnkMVFD/BO\nxP2YJ0gAnEbaeC6CwlKGVeQZAlfWHmSeTiOr+Hcg7ZBHmEdRwt16szaU1YiUepLAf5Ul2MsSghlK\nNxMumNee8535rpEAMpBdC33XiPtx9FtQGGB2YyUJAlIDwL1IrskuZAnbUeF1LwRo2x1HJrhBZIJ7\nM3MzVhKQ6oWu2yS+N7Abpk4hlk4lbeduKK1ykaJ0k3Jr+RaQQThDc9WjC1Po9r1aKfdKVkZtiAvm\nVsQS/WtEad0OvBGJizyLxH1TXJgB1jTS5quR1cydwCcQ//jb/fcmESZLOTmt9SpUoTLhGjXlyAEL\nQ8SWuip3HbQQKHS18MIUeSXWhFK8kpBshUwfTHtSl2Re9CHCfjOSEPLniGK/kWBD7Ia7AuoATTk/\nD3wT8c++DFmOVtJuyKoo1QuZBCRaKVXCC9l0OmkOVegqK3bfUt36sJl8nKq81QpWhNENy9XDWej1\n5kIRscSnEfLAu5E0688hbscPQXaN3G7eg+kTzLYSdT/hZrbi9f5CNi/ProW0B1PPQOF3EdfKHyJy\ndQqhilZ6jcXcX9j/1qh15SXPYnVNREpdo/HqO7eD3gqT5xzuOeaCTgAFmDoKZ+6CQh4KwxX8VtED\nvAHJ/vsG8AiSRHgxYvZfaEggXOgHkWd+MwuLLXhQGIKRb8J4GqZPUcpgqrTP7P3Yw77nTvbFkN83\nCklKV6EKu/oM87NXk/Zvf1OpXBcQt8zPIcyOX4PENbDmj2A0C2e/6n9n2vldiuaaPF2kKG1beL4P\nOtbA5IchMQD8DGKx5xD9U+kzVdPWFq6Bo4rcGrZ2tamr0CVhqauStoMwYT6zrxdzDeQaxVGYnEYa\nqZqlZR/wI0iywReRQNTrCWh2zaJMqoEqoCPAvyKc2/dSdbKWNwUzx2AmxcLZS3P1d63lo15IIMOo\nFXF7tBDcr3LHlV6oSkInJNd6r9SnutB2KCIKbQxhdfw3SDwAh14JXb8O264ArwgnD8CEuiOaWZkr\nHMu3vRPWbIThL8HA/4Se90DLy2DoIMJK1e/WSkbD7scqcV1l2hVogsDPnyFQwZrklPDvr/oVQgOL\nP2vj6qBNUjtBUvYELE4RbAXeA/wn8H+An0YUvmvRLCUkEBfTd5CJ6hIWP5mq4qql0q2nfNQSOkm2\nIdmhtmTqDCKHUwTBOF1ea2Eym3RXL8aFuyIYhelrgI0w9pfQuwuu/wu4JycF8Zjx72+p5HOkgAx0\nZWDsT8QV2P2nMJID73FKx2s93ag2hmIVulrmmtjU4h+tlK6Mx/y/i4sXNcCnbg+13nXgukvXWlju\ni0UWUX4HkM0+lDkzhQSclgrakYH6d0jb/jLybLVYddSire3yFIKla9q8VkXfTK6XNNCFWMBrEBee\nYhIZqOP+MYnIjPq7ZwgUO5S6I22b1poaWRCmEj3Q+kEYuxP+/Qa46cNwxU3wzFE4/AyicPL+tXW8\nNnK1pJawWrK+/G6+CJafgCd+C/reAet+CJ56Ggqj1McAc2XVugxVpaprJePfZwsy8bciq+IOxADQ\nPA8PqSlzioCpUx0iVOo6Y6UpnZ3sclTRbPUsikhi4buQDNWzSEGqNM2lYMKgy74BhOJ2HVKvQiPt\nzQA74bvBJL1/CAJJzRQozQDLINEPqU2Q6jO6OScxneIIeCOIgh8mUPDWeofgh+qLV9RamWq/T8Pk\nEEy+FFgLD74P3vgXJLdeRGLoEIXRbijqileVeiMJA5ZznoBkF8nOIl7qXrxnPgtv/Rj80wycfIjA\nd14PGXeVusqqKnUbOFeLvAMpOtgJiW5IdUNyGSTa/EfyhKVXSIE3xmLyZiKmNOoDWpqcCnCewF+t\nddddhdloJd+DMAk+B/wF8GvIQB1r8H2VQwKxBs4AHwP+C5Jo1egVRphVbq1xdWmkmR1MmiZwrTUD\npTENLIe2dbC+Q4z1FuQ2R7JwfhkMtMNYH6LQ2/2/Y0g/aJKVLrnDyg27cQXL369mTLjc6BlgJ/T/\nBnzxV8hc+jZWvO9VHP/oBhj9up970AwMMCMfiSx03EDb9t8kt/8I3qbPwOODCJPLWueWkrjQa9kE\nRjfoab0KKXOo0ZpCLPN2AoW+XP52ZGF5Bvqy4rHLApMJONUJx9ZB7hxLwFK3Sr0DeVidca1CV86s\n5TnPRQcr9x6UsiZqqXDziHJ8APgDxI2xCuF2a1C20UtUEMHqRTJCvwT8AqLga63QK2nnMGqX5epa\nl5wOihaCgJK10HIEctMMSj0DdENbH2zKSIiiA2nm0yk40gbFNqHXzrSA5z5vgtnxCJcRljLv6eFy\nqHHOMRcd0U4QqtQnJBePPyJ/+H8wev9JEhv/huUdrQw9mSc/liBYWcx37oXQISv5vn4mroxMp0fX\nJTDwzG9TnBpg2U3/h8E7ckhGLZTGAyqh1brtBqUuYttn+p2E812r0Fv8vx2Ia64b6IPESsh0Qk8i\nqK68CtH748D3W+B8L+S6WMwKI6JRocsSDSb1IAHHXp5fktDuH2rJ2+iwXYbbo9ztq9LQ39c64OMh\nnPYbgD9Fam50U8qpbhT02XsQIf8qUsJkGbW3tLRf1TIp9+zl+s4qcT1aCWShE2nXXkReevz/26hP\nv1aDjFiN7WmpbbbdP7YQbNq1GliWkKU2nchgV1lvoZSb77YTzHZPWSqf/a2Fm61YDjpBKqVxgkTm\nlxh7cC/J/C+y64+ydG7sRPqgndLJxIWdrK1lWw72HueTnwTS7710bExTnP5Lkmt78Prex9j3DiM5\nFrp1ZaUB57A2su2pKye9N3126yIMk+kU0rfKiPL954k2kYPVBHtobEXIddv899rTkNBJoTpE6FPX\nol06c2nQSwSp1MJUiz3PLD/aLMvdcz73FU2yEzo3wYwHU0egOEjt3DdKP7oBUZa3A7+HjORzyPI6\n6qCSCucypE7LN5FaVL9BwL6oFXzhTvVBdoN02dgRKI4RBNZsv7iZo1ZBaZxFJ+E2/zMdDO3IJK/s\nlyRBJmAzwH/WQhGmUkEaxqR/aDw0D8Gq1GZOl1uNurLufmYtxTnuq+xn9jsaqygAI+TPJaDvPSQG\nPssjv/YUG2/+Cdjcz9D3W+DAGNJfqkBdhK3K7DXne89FCpn48rB1Fcu2wfTe/07XJZtI9n2IyW9/\nBwbGmc0pr2T8zfe5286uG0wDyPZcLm21UHrk09LUU4h85PxH1BBLYfF6I2Klrpb6MoIgo7pdVKjU\ncskRDGT15+nM6Q4AnSDUUmiD1BpY9XIYSUHhGzA97l+rltbqNEFi0u8h7JjVBD72KIN5qiTXAPcj\nmze8g/qUr/V93umN0PUq6M7DxNegqO4R7SPtrzB/pA0mqbWu1vkUIgdd/mGVegJR6A1k45agAN4M\n5PJwNBUQGiaQUMYx/++w5096o8j9ayKMljywg1+VuX3twvrUwzDX8t1+puNBJ2NfZoeKeNnbGdjz\nMVrTf8Ga3/80Q59cBgdOIH3jTkYu9Lza93bcucy3ckgQyMUUXL2M6ad+lY03rebAt36MwvQjMDVi\nzmPPV0nSUDkFqu/b1ZK+r+fVZ9LJV99Td9okpS6ZLBSzMJyFM4nAEM/5jzeJLDZyeZGnRSj2CH3q\ndgBrEEwbQ62zfmSjC9eKCbNmwiwY7dgpyXQc3A9T41A4QyC0tYSHKM1LECv93dD2h9ByOQztQ3pO\nTbdyAjQXVcxSuMp95iFaJAk9O2D8izBzN/C7SFtq0kst4Q/+whmYeBQK7VAcIkg+cidda7nr89jX\nbqmIHYhWVFecKnXL+a3UvVBv5IExyI3DkRa5Nd0aYAA4X4TRaV+hDyNKXWmOOUpNeTVsysWTwjJw\nbdsuBo4yLBZhchyPdzB++tOcfe8Hue7t72HN247wlX+9BemfwwR9aI0uRYpw+dUJ3yp7S46w7qQN\nQBs/8JY7+O59/xe23Exrzw5mhif8e7ArQ/sci2kH6xVwjUDrOVCZ1fu2KwSXvu1PEEUPRjqBLEwl\nJRTXhojBESCnxIvq9zSN0KeujaEWmvVDZRCLbCOBb08F3C5jbMNZZox930+1LZ6H80/A2P1QOEnA\nCa4l7EBrAd4Bkx+C1imhK9HL/ApoLh/lXH5JKyy9QpPyvgHFe4APIAMO6sMYKgIzkD8h7Xv+CWnv\n55fkto/0+27fuRO3Zl8WEDnoJgiSWnkJ8202EgUgB1MTspvfMYJN5E8A5z2YmCJQ6K6VnncOywZz\nmV9hB4Qr/MU8jx5CvRw6+CNMn+3k5Od/n5tfc5iO5X2klvdDSt1ldtK1E7ZV6nalVnQ+1/f0HJLM\nlUhlSC3vp703xRO7P8dFV1zExMj72PupNAH3365uagE7XuZqc/3c6inbj6rH1McywfOU1olpkYvj\nBDsXHkXkZzpHsNqtDhEpdV3W6UOO+sewfwwiBXZ2U5oJagc/5n+rwMsdM4ipVMs67fNhE6TfCad/\nDjq6keJYHQQ1QawCt0oKSoNMYe+7n6lJ2CnXadkLY3dA+v1E5/bxV0UMUOorDjtsn7n9aT+fROTg\nJCIXKiMqM+qorsfKqxr4yUdtXRIYvRipcrsDCYKtTUJHGxLn6CXIOm2nlOGjK5JydUHCAqL1ykCF\n0vEFJN7ByLlu/vR3H+GN//se+j+SIb2iBaHpqYtM79+SHfSe1SmgxAeNoWT979sqrt3ActKrWljz\n4XFaun6e7lXbyI28CU48y2y5qufzK8La36Uy6v1r0F8zjTXg3wOsFHlYl5RdCXcg8nIxIj+tXf73\nq3eiRKTUdfBqDQydjSYIZtxBZMpSizrM9WItPa/M96xlP0rt09fnwhjM9EH63TD2i8BRWL0BWnsJ\nUoLdiLlV3uVeh61s2uS8q9YDn4KZuyD9qzA1SJBuXG+o+2mM8i4z239h/eh+ZxpZZQwRyMYEgcy4\nq7hGw4/htLRLOGMjsNn/2w+sTAgvOanxAaX0quKzgWK7qrPBZJgdYJ7LpVcrmL4ZOs3ouR9jamY5\n3/3YJ8hckuaanefo6epC4khdlNa/UQaHdb1qYNy60vS72iZyvt6uTnbuOMrZj3yAbS/fSLH19Tz3\nYBEGT5TeV93gugzD+sO+b1eU1s2sbeKTRJJd0JGBFT6tcZN/bESSklvaCNhd1SFCp6RrebuW3FxL\ndcx7OO/Pdb0oFbpeswCFVZD6WeDtcEkCVm4hoISpJeMKSTlYwVGLph3okfP2fRf4d0i+H2YmqK/1\nEoZK27lc/7muM31/Lqs/6mecC75ySqcDY6wXMWB7CIzyNEJ9LLHk7CRvYVd0rozYST4q91MR3VRj\nZuqtDJ3YyKE3v5/3v/5Odm7OIObmWmTCWk5goVqGkzVMMuY51H2zwv/9OmA7F28cZ+DZj+N1/yCn\nD9zOsSc0UBFlQb1ybV1p/1iLPStURUsCVGa3ZeumNbBafd9GqNTV56QumCmCGhiWlWJ9i66FB5XT\nlfSaUcK/r2IO8ssh8atw389AyyG47GLYsI6gVojrSw/jy9rXCf93adjQD5duh8m/h2NfA34HZkaQ\nlO56W29hqKSd3X4LW3HZlHld2enqTmmZKivNYKXDLJ/6Uf84hniQznswkQdvTI6SEgFugDRsZWrh\nrnaigk64eSYGU4wP/jTFqX4+9CfPsu7a/bzyJ/ZyxYtOIEp5E8FqEgKlrsFDj9IcA53YNgHtXHnj\ncV76lrt4+sR/Zdv69cxMvpMjD2YYH0xQGkiOCq53oNxnrgxrjGiKEp+6Ny4Ml/OeyIf61Y8iZV9q\n4FOPiP1igz9al1x3JtEBq4NZB3JYwE3P1SwDei5MItmDPw6HPwiv/ivwLoKjJ5FpeYggU1Bnd5c5\nYGlhef93U3DFRnjuIzC9H6bfhWw71yyW61zQfrN0PHUjqI9crRwl82oQTd/LUTrpNxrTwCCMDsLj\nHeJFbEFufRAY8WBmGrzzlMYHxpBnUfqbPr+OFZg9sF0/b5QwQdnpEbzhl3CSs3znO/+TP/zKDp76\n+mYef/BtiNX+DP+/vXMPluMqD/xv7r1zH9LV07KELMuSLdsYO+BYgMFeg80Su0R417JLpSovSLYS\nb8KGYkl4mEpSW6kNjyRkCUsV2YpTkAQCFSA2JFAIrw3GNuYhy7IwEtZbV6+r133Pe2b/+PpTn2l1\nz/RM93T33Ht+VVN37ty+p8+c852vv3PO933HVeTqlqgO2XWkgXR2p3J+IzDDK1/3Dzz0uUe49U2v\n4Mdf+1UoPQJV77JdUnjbWy1283PTovYuC5ozyyo0qlBdCZPr4eIonM7JkB5BRGACKF5EBMfM9tkZ\nCTr7OhZNUxCJDma1wByviial7jdNzzrGUkJlI2z6MOx8D4M3v5Nl79vB7J6N8N0JqKjgg+vfqore\njIYdguEc3P0Sxq+vM/+V36dRXQVr3g/TB5G2G6C/2kZnKmrdmB4Q0Oy7bSp39SZIS7l5cTbkG0eg\nWITJYRgcgFoNilUoV6BRxN0jUKtNFbrOSMxZi34370Mrzf41xl6jDNU6Zd7G8PKv8Xt37OHt91zP\nB+/6KgfvOM5Dn65SLmhSE7XENUlVBdFiurY+zMiyWd72nn+l/vBX+eInn2L7m99EpXIjM3Pa1yon\nphdNGgRZ6/o3001TDRE1WgvALDTGoTEF5TGYGYLyEAwOyoOrVIbGaVzLoDsSVOqqsHWAKmqtm4cI\n+AVdmAIepmMdpTEyBLUBqFXkSZnIwDAfPmU4UQP+lMaxv6aydz/84mcZ/VmeWjFPrTBKvZST+rGA\na5GOwmCegZEGg2N1BseqFDdNsvDV95Ff/0bKe38JLvycYAXQS3LIMXZ5GKxDSS3nsG2r7aMK3Bys\nquRNzN912SILVjpIXS4CA1CfgSldQFdZ19BSXT7Sh5QqdGh+QHWytKRWYxIYlvql/pjh+HNvhLEd\n/Ms3/pwH7h5kx+9e5In/+3KKtXHmR0YoVUehWIfGWS5FouaWw+gAI4NFlpdLjI1eYGHuC/zo2EHu\nXP9+vvOtt8LM48isxsyEmrRR521fv/ubRqe5N6JtNIgo9Hnc6NhRaIxCcURel1IcLyCeZBeRvYnu\nSDD4aASZa6gLlE7FdPqprmoFmi13dz1PCKM8cs791sLtN8OZMTj+AhT2E8cZgJ0jG00Dq99L9dBO\neOzV3PDbO+DOX+LYN7Yx/f9GYHICV6kPAVtg3WZWvL7I1a/dzdQ/f5kT/3SA/Ct/l/rpa5AwxTQU\nm1O/0Ztg8/WwfgG+/zwiiGGO4jL3EnQDTT8zvQU0D4x6DWlgyyySic+06tOkhpvmoog7uzLl1vTY\nUaVoGhhexREWnekluRSl30sVWA2qV7Fh2f188oefZ2DHYX6jeIKXbh/l72//Lb536NXwyCQUznNp\n83T0Rrh3HXdueZRXPfK/+fy+wzy5cxt33PQunj+40Rmn3gddkphODGGjsb1LNdof2u8Vp7wFmvNa\nmUs6VVxvr8yvqZtLDF4rO+fz0kY1/8+bY6EV6l40DCtWwfQ4DGgyojRoAFNUDwHcx/CKd3L03/6A\n+uNPwbb3kbvprYxfN8caatQYYpAaF1nD3MAo5Yl/Yv8HP8s1r72V/Oi3KD35A2TxTctNgwFpz9G1\nMK5Z6dQdr51yMfvSr8+Ne/h6B+nvWVmKU8+QOv75dXSwegd8HEo4DXn2PohqUDnJscpqWPs/GWEf\nny1+itcfX8HQ289xzbYcGydOwk9PkhsbplEo03jxBEe3HePnT/wtew/+jDfnruJL136Zb/zouzB1\nlmallsZaOvjrqla0qqN39mm6eHpRA6B7+UhIqauFVUIOmDCfTt7dY7+plvd9GJy1+h/OQ3EIijP0\nJmQ+LHrfKarFZYysfS9zMxMUv/d3NBb+EG69gVWba9RHllGfmubsgQdpHDtL8codLN/8AHMTA9QK\ne3GThaWFo7yK++DwSThRxU07HNa6aOWb7/XT9vpl63JdJ/frNboOHmTVmevkEF//pRWApf3g8QqZ\nnaWWu4NrKPOj8wc5+7GPs3z8o9y4psYVA3UYhdOFKnsP/RX12bXwindw9Qvv5KnpSYo/2QOz07jK\nr+G5T9LfL87j/LyrC+rJ40d0z66oSv0TwJuQUXYQOcRz+vLLzClnUjhLO+fUevJ60SSNu8Zer5zi\n7DM14Ga46Z0Mv6bMyhXfJj/5YwqVHOMbVrBu+2s4c/4+yo8UmXtuL3NcROLOo582Hg1nsNWmYXbG\n+Swt5dqzdggp1yZ+ewEmvahrFuTZMLgqRarnz/AC10Hxbtb82vu5Y/PX2PS9bzGzv8Rgrs4tQ6O8\n8W0reeZ17+BbT9zBMxfPy/+eO43/weVpPbTivrd3fzCo76L3aVSl/m3gA05NPgp8CMn1miGyYs0p\nuo/gWLgH9lKZyHMmv4kLrKVBhRzDVBijVt4jO+KXLOGsLDlAdjYqe0IXcp2mu2FWqOMm2Zpg+gsN\nHs3fxWjlxeJ/fX4G6qvgK6MUH76SUvksYqioS+dSab/efs+oSn2n8f5p4D9FLI/WWQsXC8aGWXWO\nxtwgVapULz3B1f1Tlxh0mr3Yhd5M7pQqPZDrpYDpvVaiPj9FgUEK6ulUHwFyMN/ATcalHkFZSM62\nOIhzTf3dwBejF6NBSZ24yPUT5gNLN9fM1J0q4KrMzala6squh+h6uvr2ZoaY5HopYCr1HLKPBm4U\ncA2xys0jK6vG9YtxvCdPGKW+E0lV5OXDwNed9w8gPfeFaNXJIaHGOVzXxjgUmekPnTWMQCXToyDz\nQh5nm6rL6xjynRPJ2ZOgXC8VzH0r043PGyVrBuiYcRZZlvf+IYxSv7fN338T+GXg9cGXPGa834oc\nKOFFO9QvxWVU1Kc2i8s6flZ4FutpYqYJjutBqW5e5hKT35T8MJIWAXbt2hflhjHINVwu21u7rtDi\nwAxSUgXuzd2km8reWetS5whxyHbU5ZcdwB8Cd+MmQvfhHuenqQxMTBfGGadacbprmVnP4j7aLSqt\nvmNWFbumFVWrOioN3LVVs9/9/NSvR4yCBtu338bu3V+K4f6XEVKuwZVty+WYLssmaYf7Z5WtqFEQ\nRbajKvW/QUa3biw9Bfy3yy/T9VJVBt5z/8wnNzQPavP3IFRI/NJjDsPVW4AVcO48FI+SLcXeb0o9\nD2Nb4Yq1wCxMHKU5+lfxpgIIwuyzBs2pTjU/iF9aiTj9iC8jpFz74f2+vZ51aftkcfnCtNpN0nYv\nboXqjV7X0S+4KZ77RVXqN4S7zDjY4dKJL4qZrlKn3hpcYiY5CkL/bkYk6oxgCFgDL7sNGpvhJweg\nOEm2lHq/MQYrboOXXQf1YzAxiySr8qZF1Q1ev5mZiSolTROgKVvNwwZMRVnCTYjVszQBIeXai99M\n1Bt4FDcamZhFl8BW4zarSl2Nz16nXvBGUENcBkCCaQJ051vd9cy/mZGkcPlBCGEa13T5003GOjAD\nB58HTsHCOfxDuS3hKcHCfjh4DhoXEQ8HtdT9rPV2isaclakPv/7ulypA81RHC6XuDWm4nZrh9Jbo\nqEdOEvfxS60cnQTzqeuALbS5Nso9TLTBSrB/D67SyJo102+UYG4v7A/bnu0UbxTFnEVFlvSDxspz\nvCTVf727T4Kpd9MkaxbdYiDJzIAWiyUsWchdmgBZtOj6nay7XVosS5MlotQtFotlabCElLp5yrel\ne9QrZQmJjsXSRyyhkekcmrFUthF6xhDuuZMWiyVrJHicnZ7PZx46C64HhdetsWy87zawQh38R2DT\nVli+CQ5PQ+XHpJN8v59xZjr57XDtSpifgBNHcfO7d9s/Kgfqp67v9WWmjNCYBj3vcwnZJC3RtrKb\n19FYHO2YkFLPIdbdMuR8UlXsegagZnEzD9IYwE0I1G1ghVqTy2HDtXDFS+H4aajs7rK8pU4ehm6B\nrevh7BCcOIvbX932j56zqcFpZuCYzgryuP7DJSSVhA01d9GHH/SzMkqfxdGOCfqpl3EDVbzWl5nz\no+H5W5TDIbRj5uDocThdhfJp+rnD0qUG5V3w0xdB8QQwhxss1G3/VHFPU5+lOeWDHszrlZUSbsSx\nJVzktaU9Onvv7xl8ghGl5qnainmIsGnpjeEm9YojuqsI588gSugs2cyT0Q/UoXYQTswgbalJuKKi\ny3FVmoPTNAcMNPfX4hh88WGVeTwsjoNoEt419DaaDlpvzozVyACP67CEOnLE5DzNJ5VbwqN9N4/7\nkI5TmYwi4mj2edBD3ypziyWIFFxBvAew+q2Lan6PuJRvAzdJWBU3C5ulM3R/o0C8lrLO4Lxl+hxu\nbLFYWpKyf1+QpTdF/HlaVDHorMAqis7wtlucbafr6QPYWZTFEo2MOm17T0WJC3Whs65w3WG2XZx9\nYx7pZ7FYopCCUm/nhtYLS1DRiNIBMna4cR+gbqmD9MbH3ywvjIxYLBY/ElTqOn03fUHhck+UbuNo\nRgAAFvhJREFUGu40PE7LbQBYA6xHPDeOkUze5MXCILABGAfOAOeJd6lE5cJ7WlLO87v3wGKLxWKS\nYPCRhunr6TZ6kIUZTapeFeoRY55dCsEWmq6V69+9lp5jZY6thhXbYPIsophsVGk4cki/XQXr18Fs\nEQrT+Lef2QfaL0Fl6k8zL0+D5mPsVNlreRqsltWZlvf7JiVf2lbWXbc70mi/3shKChGl47g5WDT4\nRIOPNLK0ghtpqKcgQXCDez1avGvmebnnxpXw0i3w0BjwAuJnba319gwikcBb4M51sHsCjuiRhN6j\nAXV2lUP6zS9HjGl9m2eSmks8KiNmAjGNKJ0j3PmnSeN1zU1SQWib6fmtlvCYRmeS7ec3C+2b4+zA\njQ4t4lpcZlCSKnO9zjySLoxrWyuL3nl4lGdh+iQSgFTxuc7ij/bXSZguSzte8lMPstSDfvd+bi6x\nqeWiwl3FVer6kNBBl8VN1TQ9qrxjxRIe7bc02s/PhTcaCacJqCBWVt74my6/hPlyrb60Oci9663O\n/U8dg7PTyHqwDTMPTw24CDwBT14B1WkkiAva91XQ2ne7ZRl9792DMf3Zs9h/aa31+40jS3jSaL/e\nyG+ClnqQJZ2EdeOUX6tAbRZ7+HQ31IESlDR/T9Q+C/vg9m6KZlGRZwWr0KOxONovJT/1tAamTt8t\n3WOmRE4CGyRmsXRC1naaeow5ZTeTRVlaY24A2im+xZJlMhh8pJiBLnFb1+pVYTdLw6FpcNVDJU6G\ncfvZ60kThO0ziyWIhJW61+WrFWuQFLxzwLkY768HL6g3hV2jbc8AkkVRvWDi3Axchbi5zgMXQv6P\njS+wWIKIQ6n/D+ATwDoCR+UAokhHcXOlq8ui+qKrm5oqjGHcXCN5XOXbzWBWL4o8A2uXM3zfRkpf\nX0Zj/rBTZc01Y2lGH4JryY1fy8ibFyh/8xT1qTmCXRrDlgtugJFz5CDLnc8HPS+9Rt0cC4hrbM9X\nD0PIdpbQIwHjfvAuZlzd4B7N2N9EVeqbgXuBo60vG0QG7FrEAl/u3Fr900uIi5yePanKft75fQTX\nOutGkaiwjzCweQ0r//IXOP/9TdTmK859bY51fwaQh/BmBq54DSs/eYILewrUpxpIv3SzaaqDSB8Y\nJdyI1VW4Cn4ECVYbwVXu2l8XER3b08OvQ8p2lhhAgsT0uL/+V1DJMIS0W1yH8qRLVKX+V8AfAQ+1\nvqyOWFYXnZ9qhauS1vzpZqOax9zp790m+9J86jXqkwPM/59D1GdPAJNYf/VWaHzBGRrTT7Pw6TL1\nc1O4D8Fulq80/YP+BDfISC1v83xSM2WA1qfgvHr6IA4p21mijjVQuqGGtNvi0ANRlPpbgQlgT/tL\ntdEW2l3YI/TBAfVTJeb/VxmxZmyujNbow/AU9akTzP3ZKqTd4lYa3cYN9GwQdiDbWaKOzG4t4dEl\nvf630JV2Sn0n8CKfzx8APgTcZ3zWwi3iMeP9VueVFrp0YBV5ZzRwUzykyRHnBbt27YtS0CKUbUt/\nc4Q4ZLudUr834PNfAK4FnnV+vxr4CXA7sqbh4Z6uKtcb9Mls6ZwsbChvRRXn9u23sXv3l7otaBHK\ntqW/2Uocst3t8steJLm2chh4OX3hIWCxtMTKtqWvictPPaT5FhS8knQouPpd6wlIi2ODpDdoSlLN\neZ8kmZCXtKcmFktHxKXUrwt/qZ8bWpIn2ahL3Urn9xnCRzIuRfJIcBBIW5mHkfSaoPNkE10+60C2\nLZb0SSiidBDxd16J+CKP4Lo0ahoA9XtW90bzJKQyrqeK0om1phaf+Kvn8mNc8fsbmXl4LeWDR4Hj\nZDdHd1oMIOJxFcM3bGbFGy9w4W/qNGpDuLObbvrALL+OexiGGQQyhMYVuGkE1KWxiDxcZuixn3qH\nmAce+D34kkoVnEN8rovYNBjt0ENZRhF5SgJ1z/XWwzxfIFqfJaTUB5BAkiuR5cqVuCcfqd+xujwW\ncX1tnXSv1J3rzY26TgaJNqScvpQbGmX1b6yl8My1lA8u4B5tZ3HRgKD1DF9zLat/PceFz0xBTRWX\nKoxO+0DL1v7UACPNm74MGWTLkCC1Udy4hioy+E47989aPjrzNCe/MwKSMhrGcWM8rFIPRmV8HJil\n921lBt55PzNPd4tGQkq9huvffBE39wq4PuT6MhN45XAtdT9LOmwn6P+JoDcq80z+yQilfaeQvDJF\nn7KXOmoVH6D4s4tM/mmVRlUPmzb7otM+ALdf1a/adDFVy3zIeKmy1Nwzc2QzyKbdsYtJ0ACmiCfn\n/WJH3XST6q+gB7tpqffNcXaqIEq405xWa7M1mpN/meeURkEyATaqOWYeOocoB5tf3R9d+pqkenKK\n2YeXI+0VN+bDXAeZH6a8qAWapQdxlvK+pxXk12+kEXjUe5lNcf7qt7Zk/k3XdPMB10RBA5D0XpZg\ntH16dVqUplgO2hSFyw/otVgsQaSQTz3sZmcDGcxjyMDXJEVxoSfdd5tPZimgsyVdI44T9UAaQvZU\nWi3nmIeQWyyWViSs1NXbBcKtY+WQTYwxZEoZ927+MK5XRdbWZ7OAeqNoWtK40I3Sq5B+DZOcK0lX\nSoulf0nQ+0WDWPK4U221vsyXuQlXRXal6zRPz6Pk8dYyRmHkFqgtQPUIsoFraWYVDG2BwTEoPY/r\nzx9H+w8gm6RziELXZTadGQx4XvrwrTv1KJPdJRmV7TQfQjoLtbObYFSu0jTo1NU3vn5KSKmr69By\n3FzqZj519U2vIRtl5oEZszRvnEZZLjFdikZh5c1QmIG5KcRjwFqCLjlgNYy9GEaXw9lDiFUdpf1N\nBZ0DpnE39dTLJY+4OJreL6rodVNLMxFm9YxZ00UtLXR8WaUejBqbaSt1bwxONBI2dVQx5z0vHbgD\nns/Usi/RfEhGNxtnprXn+Dxvr8M1Y0iwxnCUL7YIGQZWSPvcpq6EKnzdtj+4Vr7GIORxA5DM/Onm\nRrnKgW6qZlWZK2krdLjcHdTSjMpXCtuKTZhL0vGQ0DfSQVzB9UlWa1w/V0vdL1LRDONXpdLtwNby\nSzB2AfJqVVnhb8Zpl/wMjGrsgPZjN21lHl+oU94aYpVj/E2X4BrG/1Td+lDGlZWszqyyUK8s1KEf\nSLud4r9/gkq9hAzOBZqVcqPFS/F6zEDnjWGW6yiFJ5+DQg33nFKLSxU4Dgfn4cQgrodKt+u0pneL\naZmYfum5Fi/9X/1/u7TQGvNYSMvl6AEwWZ/1dU6CSt201uMoL8r/ODOEybO4Z6Ra4W+mASzAbA1m\ndT3b/Fs35fm9z8JSxWLEtmtrFu8DL+0FpZQJil60uOjSmMVi6QeW+EKyTt8X3xQsHsz8PBaLpR9I\n0KVRPSZMlzYIXksPmq4T4vPw9RlaLm5N1YUGNLK8+ZYkOciNMLQcaNSpzjeI7nsd9OD0ZqzTn63W\n1NM4sCMs3u+ZpjyZidCsXLuYMpWmHPVGVhJS6nrQwhrntQI39FxzqReNnzrlNz1kwPVdNwd3p+jD\nZRRYxXXvKMPQlfz8H66E8g9pdp9caqjL6QjkX8W2XzlDvXCOF/5xGPEpj5LRznyYq/uqfm66L2p+\n61Gpx6Wc6pp6dw4JFNNsn1nAjH8wJ79+bZVURsABYDXS1jP0LndPPzKMpKioIfEpSeW59y6MePNf\nRXFEcEnQUh9CBuo4clCGKvUS4llhHoQAruCbGz7q5maW201dVLEMMXpFA/LLILeCJb8aBVwSvtwK\nRq+cpT6vPuSmf3iUdjdnbOAGFpk+6WOel+ZbV1lYIFs+2KblF1U+40LHXD/49SeNto2+T/K+7T6L\n4q4tJKTUK8gTsYAcyD6CW3GNElQrXE/VMS0a82eYZZl25BCLr8ihr4xD7jRUjiHKIs1c2GmjPuEF\nqDzNoS8O06gVkbYyT6PqBtP6qHC5EjQtXc2p7g0QUddYndVlZQPXbBc/91vafNYL6siYy5GddsoK\nZcSNOck0CkFBRjnPNebP7kgwn7oGjRQ8t/UOCP3i+sQaQSz7BjLljiOpl+teOXc0j3vwgnUDu6TY\n6+eYPawn6BRiKhdcK2kNbqoAjWHQa0o0Hw1nrg2rj3rW8prEMyDjQ/2wLZejKwRJk8xDPqUsjX7T\nC++TTPMyrAJe7PxtD/Ef0VUkO9P4rNGLE6E0nfINSP/uQx7W5kEoKiMaUWrKxVLd77BYwpGwUg/K\nGeJndenv88AxXMsj7gFdx81Hk2WviiTRHDwQf3voEsoEbqZGv+hQTUfgNQA0/4xV7BaLHwkrdbW+\nvQM1yF+8jmRpnO1hnRq4mQHTmpZlDfVWKhH/FL6BzACOGJ8FbcD6GQF6jV0qC4/NRd/M4m6PBJX6\nEK6L2hDNfqLmYcbepF6mBdcLCy0PA1tgYBNUdwFne3CPfsJJuTu0HerHoX6A+BWoV1mb7o764NdN\nUtP9UfP2qBuspT3ahra9XIZxdc7iI+F86uNIPvVlNGfgq3heehCxqeCh+QANL+0UsRnAYnpc5Bl4\n0Vpy6zZT23MEWd+Ne92+X8ghVvpaBm/ZTGNyjvop3Ug2XU3NtmxXnh+qsPUaVeSma6M3NbO6uy7g\neillzVWvVX3Skic1pnqxdNmPOGcpXNqcT6sOQUTvo6g7hO8BfgbsBT4WfNkgGuwDLwKuAa51fm5y\nPlsHrEUCJlYgin+U5lzaZu5176vdADcDRPR/JMAlf1eVsd8pA+uRTbysKYukUIFfz9j9JfJ3VBGF\nMEpzO7c6NNwsy6+fvEp72Cl/GdLvqxE5WIfIxSZcedkCbETkaMwpr2eElG0l6PuaM400GEGMqZ62\nVR8xiLRHmucnmEZMp3qsPVEs9dcBbwFehphyVwZfavg/M+v8rpn/zOm0vm8VURol5NnrdiZujY2L\nF6gfP4HrhbGUkVTE9eN56lPqQupd9grb/kHXma6r3hQR+jeVgSLuw7yGuJ4W6LHvdQeybZJFS7iK\nzUJqog4XaY/z3vVHFKV+P/DnuKPrbPCleizdAnCOZnc1aFbUFS5XviZxBL9oh0oQS+V7p6g8NQuc\nYekuvYC7vLGPwqemoKyb1N0EfQUFW4B/QIy5WZo33pufaz30kIyeTZ87kG2l1fdNEz3Y23p1CTXg\nPOmO8d7KSZR54Q3Aa4EfAI8Br2h9uQq9RgQWnJ8aHVjGfYKaEaV+yb7iQizDRqlEY26WeAKb+h1R\nmo3ZGRqlKLle2t3Dz0I3o4rNnECmvCSSm6dD2c4yWQvSygKL2yW2naW+E1nY9PIAbljgq4FXAl8G\nrvMv5jHj/VbnlSXU8rO4FEmvTVopoSOoO+SuXfui3GSJyLalfzhCHLLdTqnf2+Jv9wNfdd7/CBmJ\nVyBzGw/3OD87CT5KEn1qp32yeFYYJBvpWv02ZLchm6YNtm+/jd27v9Rt4THLtsUSla2oURBFtqOs\nqf8r8B+B7wI3ItvJPkIPbpKmMcSl0Zv7xevKWMd/CcZ0Y4ua2EvXaMW9btWKCtu2nGX38y+hXtdU\npWkrtSSRPDuDgyu49eZ9HDi8npk57Sdt927b2fte290vc6N6BpheMqYhUEWiUBfooVdJB7KtmA8g\nb1sF7RElJV95ZNzNsrSNlkHEw2qO5NwZ/QLqvJ979xfTS737oPN6DlkA/fXgS/OIobMF2Iy4pClF\nZJDOIXmfC8iA1XV29b6oOr/rYQ1+G5+doKl/ReBvvO4kf/ze7/Nf7n8XheIzwGmWVna7IWA9YyMv\n5c/e/7d85C/ewq7n1iB9UaE59W0nmK50qvjqiJ7U9Lnq2jiCuDaOITKy3HmNGmVMAceR1BE9y6fe\ngWxDcz54cGVLjREzp42S5LruOPASYDcyvpaSsaIMIPJ1C/BTRI6SwLs6MWj8NA0alQ01brsnilKv\nAL8W7lK1xueRlJemstR86qrcS7gKXT1RBpGHQhXJ6rdAdEvdTEhfYaGQ49CxNdTr0yzNQA1x9arX\nZzh4bA2FQg7XpbRBd0rIz2JVhT2EuJCqu6v5PzozqCCyYPoUzyJyYgZExU4Hsg3+0c9+G/xpyVQN\nabOlvGGq/aC5hpK+t/e9yriOETO4L5qcJBRRWkVcGS8iWfmCXBq9g0ADOpYjVn4OeB5R7O3yVrdD\nlZR4W+w/NMwf/8XdlCs/oMcKI6NUgUkKpYt85BOvY34hh8yctD/iWH4ZQCzx65H2PYc8oE1vlpzP\nSz/3+rJv6qI+vUAfTO0srLSU+iwybpayu24DMRx/SrKRpEGJClsRrY8SCnVzLeLWLo3eFAHqi1wA\nDgP/jgiod629Gw431a1abTA9O0ijUaJzhX6kyzpkraw6jUaJ6ZlBqlWvdX64xf+1wrsnMoP04xGk\nX/362wxI83NpzOJD188w6cQd90iMdfGWpb793YwVb1lRSLusoHbopqwg2pUVVU7ak/FE4mpJF4CD\nwBO41mNUjvjcq9snuLesKGShLD+LrtuyTBpI/z2B9Ke6TS5V69HkiC3LlhULiSy/PP74u2Ip58EH\np3j3u21Ztixhw4ZxHnwwhgpFwMq2LasXZUWR7USU+l13bYmlnO98Z7Uty5aVKbLYJrasxVFWtySR\njnA3cGsC97EsTZ4FfjGle1vZtvSSNGXbYrFYLBaLxWKxWCwWi8WSHJ9ATox5FkmKtCrguh1IJNIL\nwAcCrvnPSLRADdje4p5HgD3AM8API5YVpl5rkSx/Pwe+jRzX02m9wtznU87fnwVui1Dne5CIrWec\n10cCynkQSSr/XIt7ha1Tu7LC1gkkt8SjSP/tBf57xLp1i5XtcPWyst1/st2Se3H93z/qvLwMAgeQ\nlGR5ZMPpJT7X3YQkVHqU1sJ6GBHGVoQpK2y9Pg78kfP+A/h/x1b1CnOfX0aidABeheT27rbO9wAP\nB/y/yWsQgQkS1rB1ClNW2DqBpMjVDaNxYD/dt1cUrGy3r5eV7ZRluxfBRztxw/2eBq72ueZ2pLOO\nICFe/wy81ee6fYjFEIZ2njxhygpbr7cAn3Pefw54W4f1CnMf8x5PIxbThgh1DuPp9DiSyyGIsHUK\nU1bYOoFkV9vtvJ9DrOWrItStW6xst6+Xle3wdYIeyHavI0rfjfuEMdmEpNpTJoiWyKMBfAf4MfBf\nI5QTtl4bkOkXzs+gBg6qV5j7+F3jp0TClNUA7kSmbv8O3BxQ33aErVMYuq3TVsRKerqHdQuDlW0r\n20GkKtvdBh8FnRrzYeDrzvsHkAQeX/C5zowL34lMH8doPnHALKsd/wE4hRxD8yngg0imqE7LClOv\nB3z+JyjOXet1pVPePuQpHzYu3vu09/u/MGXtQtbuFoA3IPnCbwxZh27qFIZu6jQO/AvwB4hV04u6\nWdlu/h8r252Tqmx3q9RbnRoD8JvIOtDrA/5+AvnSWtaHkGntx7qszynn5z3AnyCN8pddlBO2XmeQ\ngX8a2AhMtqnXWeBryHTycc99cN5PtKgLyJP5RJs6B5U1a7z/JvAZZD30QkC9gwhbpzB0Wqc88BXg\nH5FB0qu6Wdm2st2qTmHIqmx3zQ5kJ3ddi2uGkIxOW5Fk2UGbNsqjwMsD/rYMOc4EJEfvE8B9XZYV\ntl4fx92J/yD+m0mt6hXmPubmyKsJ3hwJU9YG3Cf97bTOOrSVcJtJreoUpqxO6pQDPg98ssU1ndat\nG6xst6+Xle3+lO2WvAAcxXXn+Yzz+VXAvxnXvQHZ6T2AWA1+vB1ZSyoglsM3fcq6Duns3YhLUJSy\nwtZrLbKe6HX76qRefvf5HeelfNr5+7O09pBoV9bvOXXYDTyJCIYfXwROIksLx5F1427r1K6ssHUC\nuAuxKnfjytUbItStW6xsh6uXle3+k22LxWKxWCwWi8VisVgsFovFYrFYLBaLxWKxWCwWi8VisVgs\nFovFYrFYLBaLxbLY+f+0LJVJeMtuzAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f256772f950>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Carga de datos:\n",
      "Copiar la ruta de los datos a analizar"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.path=\"DataPF/Polaflow_2014_08_05_16_55_37\"\n",
      "polariton.Load()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Data loaded...\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">ejemplo 2:</div>\n",
      "    \n",
      "Soliton"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def soliton1D(x,t,asol=0.4,vsol=0.0,x0sol=0.0):\n",
      "    from numpy import exp,cosh\n",
      "    return asol*exp(1.0j*(vsol*x+(asol**2-vsol**2)*t/2))/cosh(asol*(x-vsol*t-x0sol))\n",
      "\n",
      "\n",
      "from Polaflow import Particle,Polaflow1D\n",
      "from numpy import zeros,linspace\n",
      "cero=Particle()\n",
      "sol=Particle()\n",
      "soliton=Polaflow1D(cero,sol)\n",
      "\n",
      "\n",
      "J=2**7\n",
      "x=linspace(-10,50,J)\n",
      "t=linspace(0,10,2**7)\n",
      "sol.Psi0=soliton1D(x,0,vsol=3.0)\n",
      "cero.Psi0=zeros(J)\n",
      "\n",
      "\n",
      "cero.name=\"cero\"\n",
      "cero.mass=1.0\n",
      "cero.Potential=zeros(J)\n",
      "\n",
      "sol.name=\"soliton\"\n",
      "sol.mass=1\n",
      "sol.g=-1\n",
      "sol.Potential=zeros(J)\n",
      "\n",
      "soliton.x=x\n",
      "soliton.t=t\n",
      "soliton.rabi=0\n",
      "soliton.hbar=1\n",
      "soliton.M=10\n",
      "soliton.R=10\n",
      "soliton.name=\"Soliton\"\n",
      "soliton.Refresh()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "cero.Gsummary();\n",
      "sol.Gsummary();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ff/wx69evZ9WqVYWeHH788cf56quv+OCDDzh48CA33nhjoXWlpaXx/PPP8/nn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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f53006b3550>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zzw+Y1969e2nfvj3vvPNO0P258MIL6dSpEyNHjiQ7O5uPPvqI+++/nxtvvJHU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\nIiIiIiIiIiIiIiIi8eT/A7AHOCtBXYH3AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f5300037dd0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "soliton.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h02m57s|\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "sol.PlotXT(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Pr8dCeA0liX80ipKYOkmZfvrdE0wfIPV8X/Maug9el050Etdfw+Q80aNxE4kr\nyUzLFi+l6+B6X5ScnfCA3T/Sai3xqmGevJVRa956TnO0o/o+zuyET8KNchjBagXTo5BRpCdc0qCN\nooNb4NnQq0CrDY6MwlMpJX60iB5tdsMai2aHiTbgQa4w8VnsXFabLrtlk1hOq9cHHauOFLVHitTA\nD3C5M6EafesRuR5RmyyEuh3QVLmpXj+mhGSRvq5fsz9sHVxFSeIfBZPF0ERk6gV4ySr1fUE/XzjP\n+L+24s30mrcec4sOrjtRFCnFrqRVmeTL6k3NrTygB5XekXqwpt5b4zlTenZ+Sv0jTzzygXfJE631\njurokE9ipsOO11NYHEVZvVrUI9/ZyQ+OSGIGNWEprPiIafVKMnM/dNj0aiy8NuOKx1izE57K6mOP\n9bbDYd5M7YTWeWdC9VbvFy4N66coV53Sc2nUmkkn1wMVKTHK15d/Q11ym0lu0ROTehKz6Bj4Gggc\nShL/SBRZDMFsbbon4lahnzOcfxivHV8kxZgkFl1SKYq6iybyFM3KTO2GdiU/+6GIvE+NrcAJDrQ6\na7r1GYE1OYvC+8cxwT7E2y5xRjHOh1hYCeWAhykslyKROUuEFi7L6iPlLNVp9a4D7Q7UXbIIXA54\n+Ab2/RqLTodxzeesM2Eqo4SRx3zrsl23iOZV0VpWjbxNSUx9XuYhSTsTqslMtbWsXtBjKvopio5V\n4pY6e1HELo8zFe/oSdJrssvXg5LEPwpFFkN1+5fUv0H/xXArgd+ibesSyqVkpl7Ac607oTLkGCsf\n8uoEbiLxQUzF39NqrgiYnrRwSZsDXujtZrjhmtb0CO+TrLlVSuL7dMDDKM5K66WdULpR5ICHNPin\nW4Nal8wL/g3wo2zt/RrzhnfqVD5ikJ+TefSZ7XwWqy7RokaysM4J3ORIUROZB0Qy80SsJglF1b9N\njhQ9iVnh3PutSy9FEopO2qp2Dl/G5+i7RUnir4ZJM74lKXNvKNIS9fd06fi3vmeTTm6KvPVKTF0H\n1/Rwu0Ju0LEk74JRa1YvxuntqPZ2uG6IX5vSs9QIPJNSgt2U5nRzmtAjKzLlsOPlEsJ9ZsmW3QlB\nm9BjCTth34FOaidU+6JEDzaHgcO+5zBtdRnXzp0osjfK8uCyW7c5LhokiwrJ3Lq9O+FpRibknSjX\nJBQ9gakTsoSuYV+KvvVr55L+fSnh+XVo4DpKEn8TVK1PLQs2VZXdM1QLl8m/fglFiUn1WFPSUn+s\nk/gtNkKpslLPAAAgAElEQVRDYY9VFVZC1Y2iJjL1IQ8BWL2EerCl5S/wWlN8zYkyTIcdP8TPuJsV\ntUmWyJQkvntJ7YR7s51QnvGJxG0xpaeXDnlAK6uPHmzW/ToLr8mk6hcOOp7hs9p32K+axPNanryL\nxq2pRL5FVGTGJh38GoHrEXjRta67WfToW8+1JNp9/fNVROBfTxLThJLEXw1TokVPrqgX1JfkXy3S\ntd9yvC6T3CKhXNLBTRKKlFEsjI2tJJFLL3hu0HGC1T/SaG9wK7K9bD6ZOTy+4K/ndFZ76u8jKu+T\n/JSeMayWMItgkkCY6uDqnEz5o0B2JgxsaLZEIvNE3j/iJKVEDw6rTpuxHRh7ooSxx/zoMo+67FZN\njvOKCP/V4Q4mP7gkcOlEOSaQRJCYInC9J0pRP3ATcV6LvuH8M1GUxLwk1ZmcK18nPkZc+ueAvwT8\nBeA/Q3x8fsBQCUq92HR5RSf3e5RY1PehR9/Xzvc1228hbF0yMUXhJvJOpRQr7YtS4bwiU+2NopTU\n270Yp7+n1tvQbi/xK+q0+tGpN8ogGuMuljSeD1Tfx9gpiScfIH4Wja2Wa5hEmR9c7Ysi28vKCDyo\niKKeVkdxoqQl9dE7m8NjhU2vzrzVZWyfJzJn+Mwin8Wuy3rVYb+oEy+0viim8vpcTxSUIFq3E+rV\nmHoyUyd4/fqHPIGrt+r1YXJ1mSL2WyLwr8MLfglvJfEfA/8k8PuB34P4CP3Dn+ic7hQ6KaE9lj9L\n5YWtT6K5B5hkHzVhdO18VenjY99bkRZ+SUbRdfCGkFEcO69Z6H5wQ1l9M1jhBjO85pSgkskow1Nn\nwhf60Zj2YkVFtpdN3SjRC+xGsJHNrZKsoOeYvjup6pz6ojjQb0HfhVYPbOlEeYTkEXaDKvOgxcTt\nMq4HubJ6lcgXkcdm0+UwaxHNa4LEpfZ9ixa+J5VQVBlF93lLwt6hjbgnI2X986AGBTqRX4rYTW1q\nS7wGb5VT5oh/0RbiX6CFaML5FUC/yPQo/K1SxHcB0wfpLedcpHUXFfHoP4uLHCg6catReA2jG6Vi\nZQRe5AU/DXhIoJ9Q9fa0W0uRyNRklCEv9PcTgkOIG66ojiKsp+RE4MkTbCewXsJ0C7NYkPiKzG4t\nBSBpJ/QRTpRWB+oBIgJXrIS8s9j26oRtOei4d9YTZRb7hLHHctdht2oQh06+tew1Apd2wkjaCVWn\niCni1pteye26bi1vdQfLraT8WkmklE90vJXEJ8C/CfwG4hL5b4D//lOd1H2iqIz4S8On/gCY5BNb\n226yDxZZCG/VwtMvBTWRKZfe3MojJfAYBglVd0envkjthJMcgT/wRG8zxQtXtF/28CHBekJYCVMi\n34Qw3sDomA15kFKz1MLV5lY9oFOHqu4HT7Xw5Eew7TROAx70gp5Z4hMeXeb7Lut1i+OyCgvrvLS+\naNSaWpF5InDTUAcTeasRuGqnVclUr9o88nmIVneslIC3k/jvAv4YQlYJgT8N/BHgT+V3+1Xl/o/T\n9aVDlxHUC/VWb/U9QI2+b5FRbtXC9cd6YYZJD1cn8xQRtyKjWFWoVDK2VPuDqwMelGSmndoJnd6e\nbjPEr84MZfXPPPCCt11Qn+yxPqQR+HuIP0D8AocxrDYQHjMnijqhR3eiBBUYOqI/eLVPbrza8aHC\nfuCwC6pMqx5jp3fWF2WGzzzxWO267FZtDmEjP+hYd6UUReHSsH6yE+p2wSIboak0XsLkAzf1QlEj\ndlVyudVZ8kNPYP56ut6Gt5L4HwD+HDBOH/8XwN/OGYn/7Btf/t6hWwzhyyxCuMU5c8khoO6j3zcd\nV+REMenfepMrxU5oV8DRZBTdUniyg5AmMyPqwZamv8RzZvhM8wSevDBMRgyTEc3VnurkeCJw3qd2\nwhHsprCMYR6dF/TY5KsyXVskMnsNsHywVBnlEQ7DCsteg4XbYox3Zic8kXjsstl22M9bRGFdfHuo\nEbhK5DIiNw06LiTxSwMfiiQRNQovmtxjsrAWVWEWQSf9HyJ+TD7A/bOvOvqtrPNrwN+GuF4t4OeA\n//uNr/WFQP35Ly9e04Wl6oP3eOGZErS37GfSwU3SCBRH3bfIKCZSl2SeJlSlnVB1o+jFPKoO3ouo\neAdajSWBdd7U6oFnBocx/mJB53lL/elIRTa3UioyF2t4OQo3ihqFH8mi8FN7WcCtQqMryNtSBjtI\nO+GhX2PRdHMVmeqg4zD2xJzMXZvduk68tAVhhwhbYUh+cr1pSr2syMx1JjStHSJkV7UXNVGvJrT1\na1zXv+X+EkX7X4LuWrm3z9H94K2R+J8H/iTwvyH+D/8fwH/wqU7q/qBLCfICAzPBmfzj9wCVXG/Z\n9xLRF+ngpqhbX0XOlKLyetVOaOUraGQEbuhMiA+2H2H1jtS9DZ3GQqvIzOyE/cOEbriiMTliST+4\n7E74DNsZzDeirH5G1hdFqr9S2WkhIvCeBX4jLehRrITJO4v4nehOuPYahA03N61eLasPI4/lrstm\n0+G4qpEs7LwOrkbgJieKJPFTQY/0hOsRuNrsSidw3YJ6icBVwkd5TpdPbtG01eNKXMLHFPv8G+n6\niqHrvXBOkvdG5J8Tug4OecI2OVRMlZhqf3A5qb4GFVvIKGoiU59Wn7MTJlSDPbVgQ9cN8Sszeva5\nG+WBF4LDlGa4hW8VAn8PhydRVr9eiLL6CYIzZQQuCVy2l3Ut6DnwUINuF5weWKl8ItvLbgY1NkGd\ncctlXDkvq5/hE+KxPLhsVl128zZJaIuy+tf0RjmSEriazNTlE9VCqPcO190nqnyi2wP1f/cfuo59\nPygrNi9Ct94VJTFVj+w9Wgz1JOYtkB9c05fUpb9jirpN8oreE0Vfuq2wYp7QY+pMKMvqA6h1d3Sb\nc4La5KQ4nybVJy/0DxOC/ZzOdE3tJcoaW6WJzO1U2AlnW2EllDq4dKLId3GyE1rQbaTdCXupDq5I\nKfGDzdprMmtIO2G+qGeW+ISJxyLust622S/rxDMnL5/obhS9R/jJKhMjxqwVNa4yRd96YY4aEesu\nFFMpvU78egT+qS2HJUoSvwiVgPQKNZPmp/+cvBfc4kDRYfp5bHP5/enaqak4Sidrk16uEnk6pcck\noxQU88hBx/RiGu0tnhMqHQllY6sXhvELwSrEna9pPR3gQ5IV9TyLsvr1AsZ7GEdZcytJeQlZoai0\nE/o2tFpQkXMytUHH0WOFdad1GvBw5kZJxKT6xbHLdtPguEgJfIbwM0oylzKKqbGVDKgTPQIv6gmu\n9wOX/3Yqgatj125JeOpSy60E/nX3QXkLShK/CJM1Cs5/MqI8fy8R+GsshEXH6/KILhPp0ojpuSJ/\nuMlOqI9aq4PtgG2f90UxtZZNybwSHHF6YtixW5/hO1OjDj6MR3RXS5wXRQf/IDoTxs9pY6sNTKO8\nDi5pRiYy2wgr4aACw1QHd6QTJU1k7h8cDn2HhddiUvMZ2eKMJkoic46bRuAdtpsOh1CJwtV5mfqQ\nB33Q8ckkIslX18FlElN9XidPvXdKURKzCK9xlejRd0ngr0FJ4hdhuqAsbfs9WwxvsRAWQSdn/b2Z\ntutaeNFUHrlMXnBlUj11sC2oFsgocj6mJqdU/AONYEUrWOCRl1GGZFbC/nFMfX7EedbK6p/FsOPV\nTFgJp3HejWIrZ99K/2yvAoMG9LsIKUeTUfYPDotek2nXZYw65EHRwROX5VEkMndhm3hWySJvVUIx\n9UbJJTIhuzYv6eC5Rirpv5sefeskfs3Prd6+JolZOlDeipLEz2DSuWX6So9oJVF97dATl7pbRY28\nTVZCfVJ9jWzAg5Vt0p0oupSSyihV90Cnvkwn1ecJ/IFn+vsJ3mZFO9xTecoaW8nuhNupcKLIOZmL\nJK+Dy7OVdsIAUZFZ88DSCnqknXDnNwhr/pkTRSYxw8hjHnkstx12yxrJzMoicN0HXjTgYU/qB1dJ\nWJ3Es1WWmppVoerfpmUKbIpcKOov16JfryU+FiWJF0K96CzM5K7ud0/4GFnnWgLTJNMUSSs6Sas9\nUUzNrZRbqyJeQveDy4rM3KR6sIIEqxdh92Ia7hq3FuYklFMykxeC7YzOdE395ZiV038QdsLkBbZz\nCHcwTiNw2V5Wr8rsWiKRObDBbUHNJxvwkNoJo0eb+MFi2WoxO5F4vpgnxGNxdFnuXTarNsdFHUIr\nH4EX9QiXnHwKqPVEph55n8zjnDtQ5NIdKNd0apOFUCdw/Res6bbEW1CS+BnkBXXLAFfdG30P0CWN\n10BP2urH6/q4eqvvqyYxdVlFbjPJKVWwqiICryh2QjX61ggcHyw/ptbbUh9scJtT/IqpuZUgc3e7\npDbei5Zt35JN6XlJe4RvITxkfVHU9rIyAneBwIJBDR6qoqzeGZDTwY+PFdaDGpugxsTxGNm9XAQu\nlsc8cVnuu2wWHfZhi2Rmi0hcdaOYom+1NucUVEsJRS3eUddJb1FgSkbqBC5/Uamyi/4aprJ7mSDV\nj9Oj9ZLI34qSxI0oiiL0JOa94ZIl8po1UN7qpGwiaPncNe+3LqE4nCc11WRm6kaxUh1cby+r6uCa\npdD2IxqdDd3mLGcnlCTej8f0DjOCw5zmdEf1+ZhNq/8A0QjWM9gsxaT6WXQ+Zk2esXSieBXoNkV3\nwqrWH5xvRG+UldtiVu8ytnqc9QdPfMLYJ4xdNps2h0WayNSthLov/GzAA2TtZWUiU5dOTB5wnbj1\nCLwocV+kfZv2vSajlOT9sShJ/CJutRjeI9QP6bVfDCp5q7iUGDX5wXWiNunfprayUgtPuxPaCoGr\nwx1US6Ey5IFegu3HtJprAvvciSKm1U8IlnPcxYbq0zFvJ/wAhxHMFzDZwyjJT+mRY9bkkAfZXtZz\noNEBW3YmlASekvhhUGXZ6p51Jsy1lz16zA8eh1WDaG5IZJoKe3Qd/Kjr4CqJX5NQTOR9S3/vIjfJ\nPTm0vg6UJH6Ga1GoLq/cA/QIXP25XCR3vPb1iyQUPYq/1C/FFIEry7bzBT1FMzKVKNwJhJWw1Vvi\n1aYExorMZ/rHCa3FmspTlHUnTEvq43TAw2IL4yTfH1zti9JK/3TPgWEFgjY0AsSAB6Wsfv/gsO87\nzNwOk6rPyBqcySghYszaetNlt+4Qh45wo+jNrUwzMiU3q87Akwa+I0/eqg+8SC5Rk6AmAtcJ2+T/\nLoqyL2npqtzChf1KXEJJ4kbokfaXIKOoP1tNZdCXjr223WQj1F066r6mQQ9qJG4a9OCkm60sAlen\n1esJzVRGqQY7WsEcz5vip4a9XGFPIjoUBvspzXCPLSPwdMDDcQSHCWzmME/dKGpVJmR9UWRFZs+B\nfgM8F6we+YrMbyy2gxqLoMm47TFGlNVnPVFSN0risTy6Ysxa2MoKevRiHjUCV3VwmWmNISNhE4Hr\n1ZgqSav9v+WXQJHdz0TelyyEKuGboF5Dt1oRS5hQkvhFqJGEKcv+fcLklnlNJGNylrz27+tRt8lG\nWNQjXLMTyopM3QuuR+DKhB6GCfXulm5tQcCMHvlk5iAZ0dvM8DYrOqMtlQ8xvFei8BGsQlHQMzqk\ndkKyRGZC9jXTIWtP3m5C1SdfkZkmM5NHi43bZOoEqZWwxxT/RN7zRNgJw9hltWlzWFaLJRTVEy4j\ncbVGJ5EySsR5H5Sioca6hKLKLLdATWB+DPTovozC34qSxHMokk8k7lEHV6MZky/30nEmbd9kIdQf\nm6STSzq4yUYoOxNWwbIzzUK2AtTnZCpVmVaQYPcO2P0jzdYKtxqmJTMTzRc+wt/MaU+21J+z/uCJ\nLKsfwWoB450oq5cFPbLoUZ5SG9HYKrBEVWa7LRpbnSb0fMOpM+FuWGPR7DCtBKmNUBlynEbg86PL\ncueyXbY4zjUSNxG5GoWr9Tm5cvg9+SSmPtRYJXJ9JJvaB1xFkZxyjXRvJeZLkXqJW1GS+Am3dCT8\nEvApLIa6dGK6b+r9XVShaWgrK+9b6YAHNQovmpV5qsg8Ug/W1HtrfGdCYJvGrD0zTJ7prjdUx4dc\nRWbyLKoyd6mdcFZQVu+g6OAVGFbhoQ6Or5XV/zbYv3PYDGosvTaTisvEDpgglhhBEZySmauNy3bZ\n5TCrZ0U9uidc2gqNU+rlv5cqocidTEONISNMVTq5dfDDa3qgmOyEJT4nShLPQZcn7kk+kTDZCHW5\n55qd8Np+Opmbom9TGb1JRjERuCRxW7SXvTboWJ2T2QMnONBqr+nWZ/jW9HzMWjQSdsLdnNokwtGm\n1e/HaSJzJQg8jAVfShlFCkPqoGPPgU4bml2wpBslrcbkR7Af1Fh0Okxqfm7Q8Ym8EzHkYXFw2axb\nHMMacVjJ2wlV8tZdKCduThQ74YGMwNUwXR9UXFSBecmBokbttxD4W6L0kuQ/BUoSP4Maeej9QO4B\nehIz4nYHik7Kb8GlplYmecXUJ7zGqTuhzXlFpqm5lexMOIip+HtazVU66DhP4rKsPlgs6IZbrA+I\n5lZpUQ8fRAQ+W4ruhJM0kSlllJhM1WmTTXnr1qDmkvVE+Sa/9l6NecNTyup75KbVRz7h0Wex7XJY\nNUhC61xGUfujqIMd1HVMIJERtLpBl1Cg2Ad+69Qp/fhLScxP3RSrxK34yklcJzNVU7438pZIDPev\n2R6vJTGLIm91+7UIXE1sXoq+Ux3ctjPbhzqhR7UUKgRupYOOq70drhvi16bGKT0PPBPspjRnG+yn\nLImZPImqzPhFROHhzkzgOTuhlXUndFM7Ya6t7Dubw8BhHzjMml0mVT+NwIMsAk8thYuDJ+yE8zZx\n6JDM7LyEojtR1JL6U0EPiPay0guuVmXq8oh6a5JQ9GIenWA/l2OkJO9Pja+cxCEvoagdCe+1sZXp\nZ+hrIvCi7apcoucBiroQmoi9aFq9WlbvmAcdm6QUOeChl1APtrT8BV5riq8kMrPuhKJDobddUJ8e\ncsU8ybOY0HMYpWX1x/Oyeit9B6co3AK/Cr06tFyy5lan3uA2636dhdtk4rhM0rOaKjKKJPLl3mWz\n7HCYNc/thGpZvV5Sf4rAUQp6dD+4Xo1pkk70RKZK0Cby1h0tJe4VJYmf4i9VW/4SYErCfo7X1+US\nk1fcJK2oZC7D7VQH1+2EpoKeU0l9AkGCFRxptDa4lTAno5wIPBrR24R4mxWtZ9GdUEbhpH7wxRzm\nOxgdYRbn52RaytlKCcVPnShVH2ylIyHfAO8gGlRYt1pMrfPWslMC4USJXRaJy3bTIFIHPJhshXoS\nU3L1PoE4SmUU6ULZoIXo6b+FGlHfmsQs0r/fWrV5bb/yS+FT4isn8US7vcdE5jVck1Eu7VNkJ5TP\nXSJwU6dC1SduqMy0HGEnlONw1LJ6Wcyj+sF9IaPYvSM1f0urtcJLSVxvMTuIRnirBa3pjtpz1p0w\nSbsT7kewWAo/+CTKCnpk0aNslniSUSzo1UQE7mjT6uO0M+E2qLNodpnY/dNwh0nqCxfT6oWMsjoI\nHTwKK3kC1/uEq/lJVeI+Qr6c3uRAUYlXj8AvdSIscqDo0bh+DFwmeHW/Ugf/nPjKSVyFyWL4JUOX\nUK7p4KbGV6aqSzX6viadaFq4bQkZRR/woEfiMgrvgdM7UOttaAVLXDsddpzSpWonHERj2ssN9kt8\n8oPzXujg0bPoEb7cnQ94kL/DpBuli9DBh1UYtNIoXLETJt/A7sFh26uKsnrbY2T1T55wtax+cXRZ\nrVw2S5d4Usl0cD0CVzVwtWYnN+BBTWTKSkxV1zaNYdPlExMZXyqbN+G10XdpN/zcKEk8hy+BwPXo\n+db9i44vSnqaGlwV9UK51BdFmZMp+6Jc0sBPycwkHfCwp91a4tamBIoOLgl8cJzQO8xwF0tqkyP2\nU3zSwpMn4UTZhDBbp3bCJN/YSir5amMrt57aCdMJPScp5R3wzmIX1Jm32kyqfuoF752SmWJCj1jL\nfZfdqkk0rWZ+cHXUmt6RcKfdHmIx5OEUhetl9Co5mzTwa04U3Xlya4HOraRfSiffBUoS/+LwMb8W\nrnnETQlOPSFa5FIxVWeqdkIrPyfTVJGpltUHsSDx7o52bZHq4OcFPb3dFH+5pDPeYj2ndsI0mckT\nrKcwWcP4kPVFkWpyQuZwlO1le4hp9fUAKkpHwqysHjadBtNqcOpMKMhb9EWZJml3wthjue+wX9ZI\nTH1RdA1cXVLyjmNI1MEO+lBjk+db749S5DJRI+WIfNRc4kvCV07i16x394JL2rVp31uKeYpgSl7q\n7pQiCUVvbJXaCSuandDUXrbLyYlip3ZCp7en2wzxqzP6WkGPXO5mTm2iNLZKy+rjJ+FGWS9hdsjs\nhDqBnxpb2cJK+I0jdPC65kQ5Pko7YZWw2mXq+KeCHhmJz/CZJx7Lnct647KbtommDkwsYYVRnSgm\nAtfnZCayJ4o+1FiPuHUZxRSB69q3Svi3SCPqa5TFPPeEksRPJHXvuLUj4Ws97pd0cNPzqg5eNK1e\nkVJsJ9tNtRPqkbjSH9zuRdSDLQ1/ietkiUyVvIeJaHDVXu2ojQ7ZgIf3EH+Aw4uQUpZHYSfUy+oh\nr4P3bBjU4bEBli9kFHVG5vGxwrpXZ+k2meKeZJRxuqYEhPjMY5flxmUz67CfNGCCIHA1Ctd94PoQ\nnqOqc+siudpWVidw3WpYVPRzq/tExa37lUnM7xpfOYn/0KC6Bi7p3XBO+CYXSpE//NKwB0NFppxp\npicx1ZJ6KaP0YiregWZjhWfN0gL2fPTdP0wItnP87Zrqy1HYCVMClxWZ8yXM9+mczETwpoxnK8op\nyUHHbhUa3ZTA1SHH74BHOAQ1Fk2XEdmcTOkJn+EzS3xmscf84LJdNURv8AmZBm5qKyuj8VzVfAzx\nIZVRTDYVk/atD3wwEagpCr8ks5TR9JeCr5TEdTK7Z7xF5lEtk+prmEjcpIEXNbEqajVrKK23lPay\nUge/0NSKAOwgwuodqXkb2o3lqS/KQKvK7B8nuIsFrdkO6znJDzp+ht0U5it4OQoelXZC2YJbOtc7\ngGdD3wK/AQ2P3Ii15F1mJ1x7DcK6m5tUfyqpJyCMfBZ7j9XGTces2efFPGoiUxK3Wl6/T+Aoi3nk\nV44aXZuKd4pcKOoykfc1stcllGvQ7bolvit8hSSuSyj3SuJvLeZ5rcb/WgnlBkuhVRVOFMfKl9Wr\nJJ7riYJIYvb21HobUVZfmdK3MwKXicwHntMBD9tc9J2kVsLoOR3wsBMELqfVSxlFJjLlgIeBA+9q\n4HVFe1krjbx5FAS+HVTZBlVmrQ7TineST9RJPSEey73LaumyDTskU1vYCWUUrpK47kSRJL6P08ZW\nKjnr+rdaRq+X0OsJTZ28TaX216CTeRFMxF/iu8JXSOISsjrz3qo0X5PENB17qwNFlVL0dUlK0fuj\n6HbC9MtAj8AvdSf0hYxR6+7oNBd4tayplTrgoX+c0juGuIsl9fFROFEUP/h2AusFzDaiM6H0g28R\n9CVllJMTxQKvAZ2OSGSedHBZ1PNgs/EahI0Ok2qgVGNmBT2zRPQIX+067OdNokk108DVQh5VA1el\nlNOUnjityDSRtyn6VvczlcnrxT+m7SqhF8knr0liluT9feArJHH1YjP1Cfm+8amcMqakra6B60lQ\nkxPFZCXUC31kuJ1KLbJ6psiJ4qJ1KUzAT6g3d3Qr8zM7oSDxMb3dDH+1pJ3aCXnPKaEZPcFyBuOt\nKKufJvmy+kQ5JRcR/Pdt6LTSCFwZ8CDby0aPNutOm0mlr+ngIokZJh7zSJTWbzYtDnMnS2RKN4rs\ncav2Q9mQJ/YdQASJ6gPXo2yTC+WWfuAmgtf3V/e7FW8pFCrxOfAVkbhKjHoEck+RuAp5ntcklaII\nvCgSr3AecRdZCYukFJnEbHBKZtqVtCozfVqSeOGUeqj0jjh9Mey4W58ROOdOlAEjevGYzmpJdXQQ\ndsJUB4+fxdqNYbmC6RFmiQiAZVm9JHC1InNQgWGqgztSB0+18MOwwqHvsPRazGpywEPvrDNhGHks\n1h7rjct+0iCaOFkyU43AJYmvyQ883iXKpHp1Qo9O1NfIu0j31qNwHUUROdxOziWBf9/4ykhcRqWx\n9vw9Qv1wXrNB3morVEneROSqNq5KJiYilyQu3ShVQeBqYK7OytSm1BOIVekdaPRWtIIFsv4x5wlP\nUhI/TmgtdlSeo6w3eKqDH0eirH6RNraSHLpR3nWuoKciBh33U2uKpSQzeYT90GEVNJh1Ozk7oUrk\n0yQgPPqsVi7baZdoVMmicFMic02+zaw0rMeSbHWyltLJnnNCL/KBmzTwSxF2kR2wtAh+SfiKSFz6\nbu+xuEc9Hz0C0nuavPX1i3rDqLKLStrX5mWqXvH0C0Y2tpI+cLUSU18e4CdUOwc61SWBqn8zynoC\nHmb0dnOC5QrnOaLybZx5wp+EE2WxgtleRODzJJtUH5EfdOwDA0RZfd0jay2rEDjvYO/VmdfcUwJT\nlVFm+MwisRYbl+2iQTyxMg1cJ2rdSpgbtRanBT26u+SSA6WoItNE5kWa98cQdOkDvzd8ZSQuce8F\nPqpF8FoErt5e2k+VTNTni2QU0+BjSeBK9E3amdCysoIeVUJRV0rglpdg+RF2ENPornFr8/NEJiP6\njAj2M7rzFa3xTnQmVKoyeYbtDMINjKJ8BH5I3+FpTqYlOhMObfBaUPcRI9ZSLTx5tIgfLeKhxbrd\nJKy6SjVmPgoPjz7znc9q1eE4r8PMOi/k0eUTVUbZJykf6xH40bB0CcVE4JcKeSD/q04+Vm9fgzKJ\neW/4ikj8nmHSI2+VRm6xSupuFOBMStG7FapL74eiLNtJ7YTkCfxCbxTLj6n1ttQHG7rNGW5FeD1E\nQlPEv4PUUuht59Qnu/yAh9QPHr/Aeg3TA4wRJC6n9CRkja26pJPqa/BYhYYLzoBcX5Tonc1u6LDr\nO8ycDtOKnwo7mQYui3oWW4/NosN+0iKZ2SRzKz+hXiVsGZmr8kokdXAZbauSiUxu7shr5KYkpiTm\noq0sJ/4AACAASURBVEZYcE62pR3wh4aPIXEf+A+BvwlxJfxR4H/5FCf1eaBb9+4B6nmo0fetco9p\nH/lYT1YW2QiLCnnkfdWBoq40WrfsjN9N5fRqFO4naVHPkUZ3TbcZEtTUWDeNxOMx/eOUfjSjHW5E\nWb0y6Dh6ERr4bi76okwjIUXL7oSxcuZSRgkq0G1CqwPVPllRTyqhHAcVVm6TeaPNxFI18N5JA5/E\nAdNjwHLdYT9rEE8dc1dC9Vat0NwiBh0nUkbRE5Y6kZsi8GuJzGuOkSLyLkn9S8XHkPi/A/zXwD+Q\nvk77k5zRZ8Otyb/vEioJyw/fx+r1Jq+3yRuuV2OqWrhaSq8TuOoHt87L6k12Qmkp9BPoJ9j9A63W\nisCenmbh9NNayAFjBtGYwWZGb72kOj5gPWV+cJ7EiLX5XPjBXxJhJ1yQ2QlVaV52JgwcQeC2nFQv\ndXBZVt93WLa6jAhOinwukRkFTA49xvsex0WD48zJqon0wQ46gatex1hGyzph664UvRLTpHmbBh+/\nRa/W5ZYSXxLeSuIe8AeBn08fHxGX853hHpOYKnSd/pZzvbRfkUauJzJ1z7fJF24aeKwkNCtpf3BT\na1lTe9keOL0jTm9Hy1vi1kJ8e5q6UWR/lLS97HFCa7HCGUXYsqDnW/Jl9WtB4DPFDy7T1qdBx0DP\ngYcK9NJBx7ZC4Mk7i+ODzWFYYZHaCcdWNqVHTWrOUifKftkmnjkkoZ1vKSuXST7ZICLwSBJlkZ2w\nSDoxRd8m66Apujb5w99K8qUWfo94K4n/DuAF+EXg9wH/O/DPIC7ZO8M9JzFVH/in7lJYRPK6lKLr\n4KamVoY2s+o8M5XATd0JU0+4E+xp+iu6bohLiM+MntKhcJiI4p7efkIr3GF9SJ0o30KSFvRE6bT6\n+QFGiVAzpB8ctPayliDxfgN8F6weufayyTvYDausezXCdocpXo7AJ/SYJEKln+99NssOx0nTXI1p\nInCVxONURjFWXZoi8EuuExPBo+ynO1IuNby6FWWkfq94K7s5wO8H/r30dgX88U91UiV0mOSRou16\nlG2quiyqxpTRtyyjl4U82nAHi/ygYzWZqfcI9xLwY+hF1DpbOtVswENuWn0yor+b0pvP8SZrGs97\nLEUHj19ERebzCj7IYcdkY9bUgh456HgIdJpQDdKKTFVGeYTkwWbbbRBWfHRlfkKPcdJjcgyYblMd\nfFE770qoErb+WHodY0QiM9F7n1wicVPTK9Mq8oXf2idc/7Io8aXhrZH4b6Xrf00f/+cYSfxXlfs/\nTleJPF6TwCz6ztUTmKZbPeouInO9payig8tBx7KLlHSjFEkpHlh+gh0csXpHWq0VbjVUSmfytsJg\nG9Kdr2m+7EGW1b8XMkr0AqsQRlt4VroTytIXKz3TNuBZojPhsCLGrFV75Ag8Tu2E+4HDstU+DXhQ\nuxOO6TGNe4T7gMXWY7doEc2r521lJXGbSD03J9NU0KNr4bqMYiLoS02uTKR8Lcl5axK0JPnPh19P\n19vwVhL/APwm8DPAXwZ+DvhL57v97Btf/muBbvl7K1QSL9outfBLRC6jcKWUXpVRbBuqVpbI1Gdl\nasMdRFl9RK23Ed0JnTBNZmYE3ksJvJ+MaK+XOC/HXE+U05SeEay2YlK92l5WvjvZmdAjLamvwkMd\nHD8tq1caWx0fK+yGDqugybTiMlJ6o2Rk3mca91huXPZhm+OsBnM7T9TyviR2VWKRrcBjyKx/ao9w\nU3n9LTr4awi1SHK5FaUW/t3gx+QD3D/7qqM/xp3yTwN/CvH5+X+Bf+wjXusrxC3kfS3Zqdsmiyox\niyLxom6ERYOObfOgY7lOVkLSAQ9Q8Q8022s69RDfmp6klJOMEo8ZHCcMDjMasz3O8zGryPwA+5Eo\n6Fku074ocVbQcyT7immRDXjwHOi2odkFS3WjPIr7h57Dst1iVneZ4p8lMadxwDQOmO9cNqsWUVgl\nCSsZQasEri4poUiejqSEkpAfdqwSuVqJqTtMTIlMU6SuJy5VmAj4FnIuCfxLwceQ+J8H/tZPdSIl\ndKhySBGB6zKKjiIt3KR/6xZCdSl2QkniRTKKTGTKKT3unlZjiS/GCEvDHgNGoj/4ccRgPaW/WmCN\nE3hKcoOOt2OYLNLuhAg3yoqssZUs6GmTaeHdGtRcA4GnJL73aizr3Rx5j0+/C3pMooDZwWOx6XJc\n1YkXdl4uKdLB1bmZEYqdUI5ZUyWULeetZCEjTb0EX11FRH8L4b7VhljiXvEDqthUye6eo4fXFh0V\nOUxM29Ttl6ox9YHHatStLTnouML5YAfdhXLqDZ7gBHuc3o5Ody7shNYsF4HL5e1mNMMt9jg+EbeU\nUOIPsA5htk3thOQ7E8oq/zairF7aCbtdaPTI+qE8Ch38+GBzHFZYtFvManLAQz8t8M/IfH7w2ay6\nHMIm8dwRFZlSKpFL18bVtrKy9+1JB1fnZJ7CdM4TlJduL0XU+uNPKaHc6+eohMQPjMRNXQrvDZ+q\nmOcagReV0euReNHQY0niTsbz6nAHvaTez5blx1T9HU1vidsK8U4l9Vp3wmSEtw2pT8/L6o9PYtjx\nagOzNJGpyihqjZEcsxZUYdAQZfW55laPED9Y7AZVNv0q82qbCZ5C4GmZUSLklOXOY7tscwwbWU8U\nSdxyyef0iT17UicKiOtQ6uA7ZYci98klIlevaROZ64/f+hkoI/UvDT8gEr9n6MR7TQd/bVtZ9bWL\nineKZmJKAte2SyeK3F3VwfUuhblBxwlWcKTR2uBWwpS8RTLzNCszHjPYTxnsQtrTNVXZXjZdx2dY\nzGG+FXMyp5oODlkdqRzw0LOh3QbbT+2Ej/kV9R3W7RYzu5NrszVmILzhsSjoCSOP3brJceFk5fSq\nA0VPYsoIXHJznJJgok6qlyG6Wsyjl8pfshCqEopJD7+FsMvo+oeKHyCJmxJ894LXyifX7qu/PlQy\nL/KG69F3teA5ZcCD1CzUsnq1S6EyZs0KYuzgSNXf0mot8SrSTpipzkNeGMQj/HVId7Gm/rIX3QnT\ngp7kA+xfBIm/HGAcZU4U6daTk9+knbBnQ78GrS5UtLL6+NEieYRd32HZ6jCx+oqYM8wqMiOf+c5j\ntesSLWvEi0qerPWlRuCn1rKk/CidKHoi0zTUWI20TZ0KdQ3cROCmAh+Ux3A9ui6J/UvFD5DE4fao\n9x4RkydkU/MqHa+VUfToW++PUs2cKLoXvMAPjg+Of6AWbGgFS1w7xK8IGaWvjFoT0+pHtJcr7Kc4\n64nyHuL3EH0Qycz5Fsax0MGX5DsT1lHcKI6wEw464ARQkWPW0iTm8dHmMLRZBg2mFZdna8gzD7ww\nTHVw4QufRz6bTZfjvEU8s0nmtiDwEHESpsn16ozMA2kUrjpRVA3cNNTYND9Tj9JvhSnSvjX6Vr8c\nuLJviXvDD5jE7wGvTWKqx5juXyujv1SleSkKV9wpVkruqmVcT2jqfVH8BIIExxWNrdxaeGotm5vS\nEwk7YW81pzHZU1FIPPkA25EoqZ+sRGdCtS/KUTlj6UTpAW5NDDpu9FIdfMipT3jyYLH3qyzbDaZ1\nkcgcaWMnpnFAmLis9m1260aWyAzJSFttciUJXJJ3bsCDJOe9vpFzDVwlcj06N61LTpQisn6NfFLK\nLF8qfqAkfi94SxLztZq4OmatqKzeROB6P5SGcKJYlfO6n6JRa5LAezH0E6rdHa3aCo/w3A/OC8O9\n6E4YzJZYo0RMq5da+HtYT2G0gtEBxongztMUMzKDTG5KTwOqPmLE2gOCxJW16TaZVX1GDHNTO8cM\nmCR9wshncXRZb1scVtWMwPXo25TElBx9ADHgQUooW20HEzlLAlcLfVTpw+QHf60OXuJrQEnid41r\nRTx6MlOt2lSJXXehqOX1DU59UewKOEpFpu5G0ROZPth+jBPscII93WaIX1UHO+SHHXe3C+rTPbZs\nbPUTSL4VMsrxCVZL0R98kmStZQ/pO5Gn1AUCW1RlPjrQdKGmjVmLHy0hozxUmDfajKu9k4Tyourg\nic9i77FZd9mHLaK5k3efqOQtPeB6BH6yE8oIXGY5TSX1kqzVkWuR8iJFUXYRTHZAU3R+6/ElvkSU\nJP7Z8LGSTlG/FF0+kTD1Djc5UhzlOW3Ag21nyoruB5f3NTuh7UfU/S0Nf4nrhPiKhHJKISYi9u2u\nV1RHh5wTJf4WDk+we4HlUdgJpQ6+JdPBq2SDjgMb+nUxrd7y06Ie1YnyaLN7cFgPaszoMqKv6OCi\nvH5KQBj7rLZdtos2h7CeRd26jVAd7HBm907IpvSodkJ9Ur0qp+gkbkpUwjkh6yiyA95qESzthD8E\nlCT+yaFHzvIDeElWKbILFu0nI2xTxaZ0UOvErerlapOrRmontM5znFJGUSUUddCxl2C7EY36Ftea\na61lxwwZMYzGDA8Thvsp9clB2AllMvNb2I0gXIhBxy8xhEnWeuSonKlMZPqAW4VGNyVwRQOXrpR9\nUGPeEJPqn0Vd6CmRKcjbYx65LPdtdqs6cWhn8omUUNQkpl6RKX8iHKWV8MhlB4pJSjFF3Lc0tyoJ\nt0QeXzCJq9WZ9wiLPIHfsr8qhai38r5O2iYHyqUEpqFPilUVEXjFyni9KJEpqzJdsL0IK4ipuTta\n9SWeda6DDxjRP47xV3Pc5RrrJREFPYqdcDuB2SrfmVAfdCznZPq26E7opwU9uv4dPwg74SaoM2t4\nPDPkRSFwManHZx55LHddNpsOx2VNDHjQSVyfmSkn1Z95wiWB6yRu8nzrRT56gyqVqIv6olySPl6T\nxFRvS3zJ+EJJXI087y3Jo35ATMR8DaaIXLcaqvuZXChFhT2mHimVdJN1gwuFUzLTCfZUe1s6bojn\nTOlZinyiltXvQxrTrWgt+xPgtyD5CUTvlQEPu6wiUy2rzxG4BX0HHmrQTe2ElkrgQ4vDg83hscKi\n02RS8U8R+EkDxyfEY3Hosll12c3bYtDxzMqTuD5uTdXB5U8EWdSTk1BMk3lk5K0Og7gmo1xCkR3Q\nJMMUHX/rviW+BHyhJA73HYnLc7rmVS8i7KJkpiqh6F5yfeCxvtR5mWky00oLeqQ8biJx2RdFLerx\nodbd02ou8WozAmtKz5pkWngyZhBNGMQT/OWcxniH9W3mRInTCHydzskMYxH8ykn1kXK20onSs8Br\nQLsD9V6qgytSSjy02fgNlq0G45qYk5kReECIT5h4LBKX9a7Nflknnjlm8ja5UNQcZSzthJd6guva\nty6xFLlOLhX23KKRX0NJ3j80fMEk/qXD5DK5tK/uQNF7kZucKGqfcIMObtvZIWphj17Mo0bkXgJ+\nQq21pVudE5zmZGb9wfvJmP5hwnA7oxuusEZ5K2H0JKb0jGVZfepGkVxpkU3pke1l+za0W+D08hG4\n1MGjYYVVp824EpwklBcGTAhEBJ64LCKXRdxls21yXKYEPqW4kEePwqWMkqhJTJXEdfK+1C9c4lOV\n1Zf4WlGS+CfHpYi6aN9L24uIXnefmMay6eQtnSiOqMh0LHNjK2kn1LRw2z/i9A7CTtgICRypgU+U\nsvoRg3hEd7mkNj1gfxsLGeUnwkoYP8FuDIsVjI95O2FMlpaVpxBUoF8RczIbLlR6ZAT+CMd3Nsd3\nNquHBrOGy4ud2QinBMwIhIQSeSw3Lputy35WJ5JRuMkHLmdmbpS1TxQniu5CuVTEY9K/9egb8sRu\nshgW2Qj1/YtQ2gl/qChJ/LPgluj6GvTo2yS7SDuJlEz0Yh81ianZCdVJ9abe4Iay+op/pO6vafpL\nXGuGb8lBZtmknmEiKjM7izWVD8cTgZPq4McX2ExhfoRJnM3J3JN99ci+KD6CxHsNCNKxPVYPUeWT\n2gkPjxW2jzXm/RYTfF4YpBF4nxk+MzzmeCwil/W6yzbsEE0rWQSu2glNA47VZGYsiddkJbxlFqZK\nujqJX8PH2AnVv1fih4aSxL9zmOyE+tLJ2/TY1JlQlVIU6eS06kIHl3qFSQcvshP6CdXugXZthWuL\nkvrAki1mxwx4YXgcMdxPGKxCqqMjzvtYTGJNZZTtBOZLmO5FBD5PskE4EVkiU63I9GpQd+H/b+9d\nYmTp9uyuX0Tk+xURmZVZVV93S7dlXjZCwiDxsI1sS9gYyxgxQIAEWAyYugWiMd0jZjwm9oAhZsBD\nMMDCaoR4dAvTEgMaGm4DdvcFGnGl7u87p6oyMzLy/YiMYLBjZ+zYtSMz67xPnVhS3HplVmXe79TK\nf6291n9ZfvqJdALnDvgOtl6DoN7jif5JQpE6eIDPLPaYxS6LfYfduk4SGg4xz03gJz+4aic06d76\npe5LKUprXhOrL6fmEufxCkj8XaLtHwvXPI5z8sg5AlcPN4sae3Qnipqbrws7oWNlU7ip6LhLbgq3\n3ATLO2L7MfXuhk59gW/Jlp58Y31/H+AuF3Smm6zoWLETrmcQbODpKAZhKaMcyUqDWoiCB98SdsJu\nU7T0oBxkJmnRcXIP626LoOZpBN5PpRSPeeSxOLisVx0O8zpJYD2fwnUfuJy+t8AhSflWbhnUE5iX\nLp2sTaRe5AmHYrlF/1wRyheC146vnMQlETrax5/jcehSx8f6OfKg0iShmA4xFR1cFh3LijV9M6FO\n5ul62Vp/S32wodec4TqzU6hHDfbcMKG3WVCb7POJzLfiIPOYFjwEB5iQ+cGP5BOZPYSd0K/AoAqN\ntig7ZoA4xLyD453F/q7C/tYhrLSZVnzG3OTIO8Rjnrgsdz3Wyx67oEM8tUmmKYlfCvOc/OBqIlNu\nJ9SJXJ+wP5aEck4XN6Gc6L8FfOUkLnFtoOZD46WHmCbrIOSn7nMBH30jYVHdmrpWNg30oAR6TBKK\n7guXh5m9mHpnS6c5p1eb4aWBHrkj/CaZMDxOGB0ndBcr6o/7TAf/QRD4OoDNAmZHccnFVlH67OQj\nlm5Gz4FOE5otqPqI7YRyR/g9RKMKK7fJotliYvlZO/3JiSLshPO4x3ojIvXHaSU/gethHlVKUQk8\nluRskkxUIteTmnqAp+gy2QhNB5c6XvJCUBL4a8ZXTuLqL8C5wuCPhWulHJWITfc37UKB58RtcqJc\nIHDSzYQyVq+SeEG5wynU4yfY7pFGY0vXXqTrZRUCT2P1o92E2+2U2vSA9ZCcCJw3omJtPofpHsZJ\nVnQs94NLaT7XVu9AK7UT2tJGeJde9xDdVFi0uzymOngW5hFOlDBxCWOXMHLZr5scw4pIE5m84Od0\n8ChR7ISqJ1wtPTZp4iYnimlCL2P1Jd4fXzmJw6cn7pfAFOZRv0bB53ViLyo61veBa4eYJzuhlRmv\nVQ28xfOpPE1nOv6Bin+g4a7oNOa4dr4nc8iYWx64icZ05ksq0wj7TZyTUeKH1ImySYuOk2wvCuRf\nU7qICXzggNeCpqtM4HeQ3FtE9zaHO4d5v03Q8Bhbw5wGLi2F8yi1E667HGdV4sDOL7cyaeDqdZB2\nQlUHV2UUncBNu8J1AtcJWidrk8XwXabo0kr4reErJ/GPrUG/L14S5lHf1yWUc0UPuv6tJDJRejLl\nIabuB9cTmqeWnj0Nb03HDVM74SzXlzlMnhjxyGA/oTVbY7/JJvAkXS17GIu2+jAS+8HVmjX58nNq\nqwe8Cvg1cNOuTHUKT+5hd1tlPawz63aY4qU6eCajyGt+8IQOPutkE7i6E0Xm+zeYiTxWCbzIfSIv\nkw5+btlVkR9c/dz72gHLgNC3hE9I4upEeu2k8C73+dh430NMk5VQJ3GT80SvXCvajaK01Fu2+Hbq\nQWaH4sVWym6UWntPpyacKH4656pT+PAwZXgI6Idzqk9HrO8zEo/fwiqAxUb0ZKqBHrWpXtoJe4iu\nzFYdap000CO94PfAdxDf26zdJtNK77TMapZ6ZAJ8gsRnlniEsctq2+awqGYEri+0WvFcTpGbCWME\ngSfnyFs/zCxaZHWthKI7UUz4Uv79l/jS8IkncUlc6p+WKoGZ/oGq9ym6zafG+1oaTdZB9ZDzUs2a\nSuDqMivlspw0lUneSmiyFKYSiuVldsJGe0O3ulAmcKWlJ3mkvwtwl0va421WdPwD8Fa01a/mMN6K\nomO5F0VWH+R6Mi1B4L4N7Wba0qMQeHxvEd9b7G8rrNptgor/zEY4w2OWeMwPrih5WLY4hFXzQeaa\njLxVSWVHepAJ4n9UEte1cFOhcZEOfslGaHKfmHCJxF+S3izxmvAFyCkqgX2rBzum6fycjKKHeVQi\nT0nesaFh5WWUpnLpB5suoqne31Lrb+lUQ3pO1pUpK9ZueeA2eaC3mlN9PGSHmD8IL/jxAfYTWG5h\nmvrBV2SbCeWjlzq4a0G/AjcVqHWhcsPpAJOfgeg7h91thdVNk5nTJXCkudHPTeJh7LFYuawXPfaT\nOsnUPh/meXaYmergRgIvcqSYpm2VwF9CqO9rByy18G8Vn5nETdLEl/oP8H3193P3LzrI1AM/OoFL\n8q5l78uCh6qVjbvqVWQn9MDpHWl0NrQbC1w7o8jTXpR4zOg4ZnSY0pztqD5EOSfK/kkEehZp0fE8\nFvy5Q1CU/PtBVXY6FWEnbLfAHqRt9amEwndwuKmy7LUI6j2m+HLFVhoz6hMkvig73rusV20Oszpx\nUMmKHaQGrtsJC50ouhvFFO65FK/X35pshKaBpUgjv2YKLwn8W8UXMIl/LXifZKg6ZRdBn7Z1rVwS\nuWojrOU/tupiApd+cFNTvRqrlzq4D3gJTjeiWd/Qs0OjjHJznDDcBtysZ1iTtOhY8YRvJzBdwnj/\nXAeXdsKG9nDaVWh0Uj/4kGwKT6+dXyNsCB18rJD36Tr2CSKfcOtyWDWzWL0kcH03ijqVSz/4EXGY\n+cwPrk/hl5p6TKSuErZJejmH0nZY4jJKEj+Ll4R51PtcshaqpK5P4ab9KKa9KIbmHistOq5ZGYFL\nElfb6hUXiuUlON4Bp7+n3Z3TqwsCzw4xhQvllgf6uymtYI0zjU/Td5JuJowfRcHDYieshLIjUw30\nyPPVDuCmLT1uExoeWHIfSqqDH24dopHDvN1mVnPTrYSZlVBei73Let1jN28TzyokM/v5QaZ+qdO4\nVEXQSXyvvT03hetEfm6i1j8+51q5huTLKfxbR0niF/FSH3rR1K2+IJjI2rQjXDqpTeStVKxJHdy2\nM9uHSQM3uFIsL6Hq72h4KzotYSeUE7jUwUfJI3c80N/MaEy32VKrVAePHuEwgfVGbCeUB5lSRlHd\nKE2gY2We8FaaykQl8Tub3ajKelAnrHYI8NKFt5oWnvgsdj02iw6HabM4kbkyXDKZmSTkY/VFOrjJ\nTlgkn6j2vnN+cPmxfvtrLYLlpF6iJPGPjEsT/LUFD/o6WVVGaYBdyQhcbiZUhWd1N7i2ndByY+rN\nHZ1K6kSxNAKPHxkdJgwPAZ3ZShQdKxJK9AiLEOZbGEcwU3TwSHmW6mFmzxEaeLMDtVuw042EfIdI\nZA4d4USxus+Ie0qfadwniH1mR4/1uk0013aDq5c+gW/QKtaOqZ1Qd6DoxK1KIao+HvOc0HUN3LTY\nqkSJD4OSxI3QDyETLk/jpp0oJllF/5zpENPUkVkrfmsrBQ+qDm6qWlPI2/JiKu6eZnNNz5nnZBRB\n4o8M4zH+ZkZvuaIx3omi4++FnTBJDzMXCxgfhBtlQV6lUIuDWlaq4lSg04XaDVRyXnCL5N5if1Nl\n2W4T2P4zDXzCgGncJ9x5LPYuh2WdKKzkCVw/zNT94KeGHsgkFBOBm9bOngv36Bq4icBV2cMko8Dl\nybqcvEtkKEn8GfSAUax8vuhgUpdQzkXpTTZC9dKnb8U2+Ewjl3ZCoG7lJRTTYaabXY4XUfF2NNw1\nnWqI68xOTpRhuth1xBOD44T2fIXzcMzZCY9v4fAW1mOY70XBg9xMKPnRItuN0ia1E9owqEPDBfsW\nMX3/jLgOdw77kcPcbxI6XaZWPz3QzKqXJ/SZRT7Llct20SGZOkIHlzKKKpnoh5jPio6LDjMvdWbq\nAZ0jL5uwTTr2tdq2LreUhP6toyTxi7jWWnjp4NPkAzd9Tp2+JXkb2uqtupBRLG0C1/ejqFVryiRe\n6UY0W2s6jVDsRbGklVDIKMOjWG41WM1oTndiL4qM1b+F3TgrOp7HsEgyHfyoPBu5I7wLdGvQbUDb\nE37wk4xyD8mdxX5QY9lpMKu7TPHSziBpcBwwjX1mic9i12W7ahIHVdFUXzSFqwQuJ/Bc0bFpuVVR\nsbFK5EWBnnPBnktk/ZLDyfIQs0SGksSfQf0FUROVHwq6G0VPaupNPXqTccrSVlVIKBXyBN7WLpMv\nvAeV9oFWfY1byQI9MlI/4oFRNGa0nTKYz7HGiWirVzzhm0AUPEyirGJNJtclietNPd0GtH2opxKK\ndU+2nfAWtt06YdU9VU1kBN5nkvQJjj5h5LLadjgsaxmBqz2ZRY31UkKJESR+Im69yl4vNS46uFS/\nVhSrL3XwEh8fJYmfxSUtvEjzlm9NgR09aq+XPOjkrcbrG5w6Mm070yrk4kJToEchb8uNhZ3Qj2i3\n57i1vAYuriduGNNbz6kHe+y3qZ0w1cHjt2lP5hLmh2yp1UmlIJNRGggnim/ByIJeG2qD1E6YulHi\nW4toZHMYOizqbaYV75l8MqXPLPFY7lzWqy77WUsUHevT97meTFmHmcDzVGZRIlOVUFTJRA/sXKNl\nm+yApun82vuXKCHwviTuAL+JMJ39E+//cM5BatQfciq+5mde+rrJgnjO/60SvmkfuKp/q2tmlZYe\ny864X5K4Pomr03f61u7FVN0ddX9Npxbi2tpOFMYME/G2u1pSfdrnio7jN3B4FLH6VQSLKNPBZWZG\n/hfKVa1VYJTG6qsDctP38dZmN6yw6VcJ6TDFT19GbnJbCsPYY7npsgs7HIL6cyeKfpCpRuqlHm60\nE5oshed0cNOBJTwnZB1FdsBrLYKlnbCEGe9L4r8A/DaCJj4BbDKa+FhkXjRZf4jvqSYx9UnbG8zO\nLwAAIABJREFUdKkdmY0skWlbeSvhNUXHLti9I43Wlm5ljmfP6FuZYCESmSJSf7sPqE/3+Vj923Qn\nylIcZM5SHVxypBxy5WuLbKv3qsKJ0uiCcwe2TGOmRL73qywaHWZ0U/IepgQuZJRpaiWc73tsV02O\nc/t50bHJiSJfWU5LB6X0EZFJKKZDzHNpTEmiZcFDiS8H53Lgl/CzwJ8F/n0+yXj8IUn13M84l7Y0\n3e7S/fXDy6Kd4Dqh6xN4GupxnCyRWRSr16QUy42xvYhab0e7ucSthPh2cCJx6Qm/iSb4qxA3WNJ8\n2lF5IxwpMpW5D8RelGkEYQzLJG+7Jn0GcgIf2ODXoeNC9VaQuJWSd3xncby12Pr1NFZ/cxJ1JukE\nPk2dKAspoyzrJKGd6eBqT6bqSlFr1k7rZZMzfnBTGlPvzyw6yNSncpPFsGgyf8khZvmCUMKM95nE\n/zLwi4hZ7xNA/YUosvK9D85ZBE23K/J961KKabI37UnR/eHqlsJUB1cr1lQZRV8vmyPyhIq3p9Lf\n0eot6NVm+Bp5j3hkxCP+PqAZpE313wO/D8n3wk54fITNHJa7jDulaiEVYxno6VkijXnngNuChq/o\n4LdCBz/c2hxuHRadJoHTO0ko2XIr0dKzOIjNhLuwTRLYJHPLLKMUNfWc9qKY7ISmMI9K4PIVQMIk\no5xDkR3QJMMU3f/a25b4VvGuk/ifQ/yq/5gPyqRFGrP69Y8po6hvr7n9SyZxleSLpBT1EFNp6bFq\n2W7wawI9iqRiuVDt7Gm1VnQbIW5Fk1GSMcNowmg/ob8MaY63WL+XnKL18QPsprBciJKHefScwJP0\nGTXSH+9b4DWg14N2H6pyP/gtMIJ4aLN164StDkHNY+oMTgQ+oc808ZnFPrPIZbntsF+IzYRiL4pl\n3o2i+8FPbpSYfE/mtWXHpp3huoRyLthz6dDymun6ks5eosS7T+J/BPjzCDmlgaCM/xD4F/M3+x+U\n938E/IEz31IlRX3/hP71rw2qJn5OA1cJXOnKtJ3sy+ecKMohpix6wINaZ0+nvsSrmAoexgwPwk7Y\nC5ai6Pj3EJP4G4ifxGKrcAtBBGGStZvJw0z5ctRBLEQc2NBrQWMAlTtlCh+JK+7brNttpo7qRBlm\nk3jSJ4g8wshlt26Jlh6pgQcUyyiqnVDybS6RWaSFm0jdlMYsY/UlPgZ+ml7vhncl8V9OL4A/Dvxr\nPCNwgD+hvP8SAr5W2nhfmCSRc7c1SSNFurdJB9dlFPVzalJT6cjEzoqO5WGmKcSjkbntHnG8A5X+\nQRQdV/RIvZBRhvEjvcWC+nSP/X0W6OEBGEM8g+0a5kdB4HIFieRJ1Yni2XBjw6gO7S5UBmCNOE3h\nxzuL6M5mPaoRNjpM7D5PqanxKbUTBvQJjx6rTY/tuiv2g8+03SjnrIQbYJ+I/eAkmJdameLz+uSt\nT9d6ShPl/SKHyrmvnUNpJ/y28KP0kvj1F937Q/nEP/C/tE85dV+zpVCVeSzt80XkrX7e1JmpX6ZF\nV2ki0yYvo+ghHkniCrHbvYiat6HurenaM3wnT+DDRLT0jKInuvM1zpso2074BpJHSKZwmMN6J1KZ\nkj/XZFSnLrbybBjUYNCESk+QOLLs+BaiW4ftbYXloMGMLhP6mid8QJD4gsTXPXZBmzhw8tO37kbR\nSx7k/ttYXVZ1btou2kyoku5LdHD1Pu9iJ1R/XokSl/EhSPzXeelLxzcBkwZu8oHrVWvSTljLCh5M\nThTZl6nr4qmMUulGtBobOpWs4EG1Ew6jCcNdwM0ypPoUUfkhPlkJeYJtAJsFzDeiJ3OSZCtmt2Qv\nO630R94gdPBWD2p+6kJRQj3cIXTwWocJvnSlp04UUXocHj3Co9DBd8taVvBgIm+TDn5SQdQDyqKe\nTH1fiklC0XXwS7H6cmou8enxBSc25S/Ex/aDv+t91e9hms5NLhRlaZWxak32ZaZt9abNhHqsPnew\nmWD3Yiwvod7d0m4s8O1MB1dXzA72U7zFgs4kdaO8Bd4g3h/DLoRwDZN9VhqvbiiU6n3XyhKZfhOa\nPjiK/p3cQnJrEd9ZrHtNZjWPp5MXXEooYtXsPHLFfvBlm2hRB3Uvikxk6nvB1c2EhyTlVHUCLyLu\nyHAV6eCXCFyXWXS5Rf9cEcoXghIvxxdK4uqfnao+/iHwvmEekwZuInJd8z4nnSiHmFTFfWwr70aR\nh5iqlVBLZ1qutBNuabdD3OqM/qmVMlsve8dbvM2M+mSb24ciCZwAtisIDzAhX/JwTJ9hLf2xviXS\nmPdVaKU1aww5ySjxyBLbCe9t5tU240qfR0aZfJJO4fPEZbntsl102U9bwk6o70YxBXpUGeWoJzKL\nDi9NvvAPLaGc08VNKCf6Eu+GL5TELT7NJH7tbUxvTRc8P8RU96Koe1LUfSjKZTtgaQUP+gSuN9Wn\nqUzbjal1tzRbS3r1EFeRUW54Yhg/isVWxwndcEX96SDI+y3wCMcxHAKhg893ouw4ID+BW+nDkkut\nfEdUrHVaqYwidfBUSomGFVZug2WrwdTyTxsJx6mMIu2EYeyy3nTYh2cOMvVyBzmByyk8uWQnVPeh\n6MUO11wmG6Hp4FLHS14ISgIv8TJ8wSTufO4HQX7ivuZ28nGf08H1SVydwuupE8UyH2LqOrjal+mD\n7cc02jt6tTmuk20nvGHCLQ/cHR+53YwZrmfUJnusBwSJPwCPEI1hMUtLHmIIkmzB1Z7MiVJHvG4M\nEKGedgsqfbBvyB1kci/a6hetHmOEjHJaK5v+jTCN+0wjn9nBY79ucpw75wlctRNKx6Cx6Lgomanv\nRDnnBy9j9SW+fHxkEpe7Tr6Ef+zvKqFca0MsitXr03hBnJ50AnfIBnRJ1uqOFMMhpuNHOP0DdW9D\npznHtUNF/xYlx7c8cBM90VksqYwj7DeJmMBTAmcMhxCWG0Hg0/Qgc4mgOsgklC7CC35jg9+AZg9s\nxYmS3MLxzuZ4b7Ea1Jk1ejxZw1wiM8AnxGMRiaLj7apLHFSIZ47ZiaK286gSyiERMkrOiaLLKPLg\n0uRI0WUPk4xiCuqo75um8msTmaWEUuL98JFJ3OHLsUtd4wW/dN9LzT4m/7e+pVDVwZXmHssW30L6\nwXXy1rcUShnFA8c7UPPWtHtzus4Mz856Mm95ZJQIIr/ZT2mHG7Fe9i0nEk+eIJnAfi7a6seJkFHk\nhkLSZ1NPf2wf6DswqIpYfcUFS07gI3GQeRg5bEcV5r0WAb1nBD7DI0xclocem2WHfdDKio7lJG5a\nL6sS+AYxgZ8OMs+tly0qOlYJ9JzbpCh1afr3/RJiLgNCJd4PX6ic8jlRpHWbvm4K85g+lrJKw3zZ\nlSxWrzf0SBlF3YmibidME5nt+koUPFgyVi/94I8MdxNudiHedEn16ShklHQCj59EwcNmDpM1jI/C\njSLLjhOyl56u+HH0Leg1oNERkXprlKYy07b65M5m3WsRVLqnnShqT2aQ+ARHnyD2WWw67Be1YglF\nrVkzFTwkMWKx1Tkd/JzbRJL2tRKKKfBTosTnwzdA4u86eZ9LjJ4jcNOGwqLG+nQSt22opnZCXTrR\nl1udNhMmWF4MXkK9vaVbW4j1smkqUzT0PHLLI/1tgDtf0hrv4AlB4A/AE8RjWIcQrGGs2Aml7Vrq\n4G3EYivPElJKpwV1Dxypg99CcmcR38Ph1mHZbTOt9HNe8NMUnniEB4/FzhV2wnn1OYmrdsI1xST+\nLNCja+FFoR6dmFWCP0fg55KXLznALPoeJUq8DK+cxD+knfASmZuIW5K1RtqnK+3ZdDQC1y9dB3fB\n8o5UvD2Ot6dVn9Orhicnyuikg7/lNnmLu15SVZ0oUgd/FDLKaikm8CcEj8pEZpI+m2b6Y30LBhW4\nqUCtIw4z1YPM453F/t5mfVsjrHSYOH1lsZUod5AFD6tNj+28y2FaJwmsPIlfshPKw8wTuRZp4Zda\nelQd/CWEWuROuVZGKbXwEh8Or5TEP8QBJtrH52QUXQOXB5jqBK59bNXAcoQfXPK9qn2bVswqdkLH\nPVLvbKm3lvScEM+WE3i6Wvb4yCiaMDwENGZ7KuMom8Af4TCGwxRWIQQHkcoMELy5JxOBTpF6wK1A\ntyncKHYfnBEnCYU72N9UWfYahE3R0KM6UQJ8gsRnFnuEe5f1qsUhrGUHmUVSiiRw2VR/QOxFSeRk\nbGrnMW0iLNLC9UncZCM0OVGKJvGSwEt8WrxiEpdELPXOSwu11J0nRd+vaLmVKqnoEoqprSedzCua\nnfBKAscDp3ek0drQrc1FU701PRH4HW+5jZ4YrqcMlgusaSJOK584XbsphCEEK3hKvxySZmbIzlfb\n6Y/1AbcK7TTQY40Q5P1d9nbn1wkbHo/0nx1kBqQ6eOQTbl0Oq2YWq9dXy67Ie8JlrP40RKvkrW4m\n1A8xTfq3KZWpEvu5WH2JEl8eXiGJqxN1QvHyqpdCJ+2iSL2JtA0FD7adnXXqThRTY31a8OD0Imwv\notFZ0q2H9PUJnAdGPIiCh/kGexIL6eQhf+0CmG3hIRYT+ApBg1JCkS31LmKxlTzMrGlOlPjO4nhv\ncby3WXYbzOq93AQ+TfOiU/qE+3Sx1bxNPJP7wTlf8KAGe046uMkTrr41SSjyY3l/SeDXTNT69Fz0\ntXM49z1KlHh3vEISV3GtrHJuOlffL5JRVA94UVemcqBpOdlmQvUAs6ilJ91MaPUSHPdArbeh3RHr\nZQdMc+08o+SJUfKEtwtpzNODzJTEE3k9wnoJQfplaSWM0meT20xoiVSm70CrBVWPnA6e3FrsRxVh\nJ6y1CXCzcgf1SvriIHPR4TBtZnZCKaXodkKVvOVbY9FxUbRer1k72Vl4PmlLXDqo1O2AieFzRSgD\nQiU+Dl45iV9CUXy+aD8KFJP5NWUPDag4ULGzsKbeVl9UeuyB5SU02ls6jTn96pQba3yavG954C5+\nYLQXdsJ2sKb6dMwOMh8geoRVIFp6HrZCB5cEHpMReJVMRumlicxmB2q3YN8hJJT0ioYOq06bmd1R\nllplLfVBGqkPjy6bdYtofiZSX1TwEJElMgt7Mk1Va+ckFHUSL3KhlP7tEl8+XgGJq9PyS6eccyEe\nk+59bk+4ulZWl1KUQ03Zkdkkbxcv0sHTxVaWG1Px9jTba9xaSN8RYZ7TBM4Dw/gJfzOju1hTn+zF\nmP02u6InmIcw3sA4yhZbRen/c/KhNYCOlUopFeh0oDaAijzI/A7ie4vkHnbDKot2h4k9IF92nBYd\nxx7znctq3+WwrHMMK/mDzEtFx9KJkkC+pUcncP0gU31fn7x1AjelNXUt3CSjwOV/c+XkXeLj4isn\ncXVi/hi/LJKwpWyipzJV4i4ibymjpLtgZKxeTWKqu1AMh5m2G1Hx99S9NZ16iOeoOri4hjzRP05p\nrdaZDi7Xy/4AyRs4PMFyLWL1MwRXSgKXYVHZkyn94IOaCPXYA4SEkrpRonubw73N8qbOrNJlbIk1\nW3ktXLTVL1cu20WHZOoIHfzcJK7bCSPSWL2ug5vI3LQbRQ/oHHnZhG3Ssa/VtnW5pST0Eh8eXwGJ\nv8+kfe57FnnIdQlFX26lx+gvaeBpwYPtZASuLi88M4FLN0qld6DRWdFpzUVDjy0IXF43xwk3xwB/\nPacR7nGe4hyB7x5hP4XZAmYHmCVZIvOoPCP1MNOtQq8O7bShx1bKHZJbi32/yrLbIGh4TE8NPcqB\nZuwzS3wWuy7bVZM4qGarZdVAj6ng4bQfHOFESeTkbCJv0z5wlciLAj3ngj2XyPolh5PlIWaJj4sv\nnMR1ojUtJtJ/Qa45xHxJ1ZpO7tcSuBarr1nPlxaqWrh+kCnthC5Uuwc6rRV+LWBgTU4SyonIowk3\n2xn+fIk1SbDeJoLA30DyFtYTCOYw2YhE5iLJMjMJ+TNWF7Gd0K2Llp76DTAC656TH5xb2PSazKpe\nGu7Pio7HDJgkfYKjTxi5rLYdDsva893gpoIHUyLzZCdUi47PlRofKSbsc7H6Ugcv8XXiM5G4Hmu/\nhniLppmi/SbXPIZrblMU6Dmng6fjtlUVi60cK3e2+WwC12WUDljdGNuNcPoRrc4CtxZwY6mNlNnV\n3S6oz/bYj9kEnvwgrvgNrOYQ7DMvuFwtqxK4jNX7FtxY0G1BvZ/fiRLfW0JGuXNYNNtMq146fT+P\n1S93LutVl33Q4hhccZipyijSE57A81j9SxKZ8Dywc42WbbIDmqbza+9fosTHw2ck8ffxbOvf532b\nf4qsiLoLRd8LbtqNooR5rIrwg+sdEPpaWd1SmJJ41d1R9Td06iF+ZfqcwBNxhNhdr6hOD8808ONb\nODzCai9SmbLgYYugNFUHbwOuBX4FbhyodaE6IEtk3sPx3mZ3W2EzqhIiUpn5WH3/FKtfbrrswg6H\noJ7fTGjyhOsNPTsK7IQmS+E5Hdx0YAnPCVlHkR3wWotgaScs8enwhcspHxu6lbAolXkuzKOSuByz\n01i9OoGbdqLoBK7EIyvekVZ7Tac+Y1CZcGOPczr48DhhGE0ZRgG18ED18Shq1n4Avof9AyxDWGxg\nGsMiFhwp51TpbpctPS7Qq0K7LQ4ynZFiJ0wllL1fZdHoMKP7XEKROvjRY77vsV01Oc7tfCKzqK1e\najunpYNS+ojIJzL1Q8wiK6EqmZQFDyVeNz4xietx+C8BRTtRLm0lPBfmqYpAj9qRqXvBTZN4Fyw3\nxvJjqv6WTnsh/OC2LqFM6B+neJs53fUae5IIL3gqofAD7MYQLmByyHaibMlUClUH71oiVu9VxUFm\ndaDIKHeZnXDbrxM2eycJRfWET1MnymLvsl53iRY1ktAu3osiCVy1E8ohOknIOjKLio5Vcr62Zk2f\nynWZpejf5EsOMdW3JUp8fHxCEleJ8kv+x67r4KZLT2cqMspJB1dupssoalemeqjZS6j4eyqDHW1/\njlsNGGg6+CAtPu4d5tTnO6wJJwlFyihJGqtfbtODTDIdXA31SBnFs2DogJe29FhKIjO+tTjcpTp4\nt0lQ6Z12hGd2Qp8ZPouDy3rRYxe2RdGx3E6o+8E3BdepZs1kJzyng6syioRJRjmHIjugSYYpuv+1\nty1R4sPhM8gp5ybxa+2ERRsHr/m5quvEtMzKFOY5txdFXTdbzxc86A4UkzdcErgLlge13l4cZDYC\nfHvKwJKKc3rFUwbxFHc9pzHdwZvkRODxG9iOYTeDcA2zKKtYk6tHpFHyZCe0hROl14C2n+4HV6fw\nW5utX2fZaRDUPaYMFB08LTpOfGaxy3LbYb+oE8uDTDVWr5K4On1LtSRCWAkTdbnVubJj1X2iOlQk\nmeoSyrlgzzUa+SWU5F3i8+AL0sRVYr1k89Kth9d+f9vwVidvU9HxuSi9ZOqUzG0rK3jQZRRTV6as\nWvOAPtQ7W3r1OYPKJC14mJ6m734yYRBNuNlP6S5XOOME6/eB78V1fAvLAGZpwcMsyZrqZfBRPiO5\nI7yfOlFaHtRGYGmx+vjWZt1tM3U85e8BpS8z6RNEHmHkslu3OCzSgodLVWt6IvMI+USmSQvX9e1L\nMfsyVl/i9eMLInH4MI6Va3+GyQOur5Ut6shUNZIWmYxiPbcTniPwtKne9iMqNwcqwz3d5gy/Oj01\n9MhVUgOm9OOAznJFPTxQ+SHGSg8x+QF4gOMEtksII5gneR38mD7Lkx88tRIOq9Bti4IHS7bU38Lx\n1iK+tdjcVJk320zs54GeAJ/wmBY8rLscZnXiWSWTUKQXfK1desFDBHkJpWiplcmJcs73Lb8vyvtF\nDpVzXzuH0k5Y4vPiCyPxzwGVyM9p4KonXDN8WzVhJbSs4sPMopYeD5x+RH2wpnmzpGcFeJYMrWd7\nAAfJlP4xoLNYU3s4YqfTN9+LQE/8CIcA1juYx5kOLlOZCflYvW+nLT11qHZFKjPX0jOy2Y8cVoM6\nodVlYvWfEXiQpCS+7rEL2sRTJ5vAdflEJ+/cellVBz/nCVcncfk5XYd+iQ6u3udd7ITqzytR4vPg\nKyVx+Ut/SVY5t41Qvc27yCiyrb4inChyWL8koahTuAcMoOod6DSWuLagSKGDT09T+M1xwk005mYz\npR5EOG+PJwLnB9iMYT2HcJM29CTZdsID2UFmC6XgoS7shHVPROrVUA/fwdZvEDbaTCyfJ4Y5CWVC\nmsg8eiw3HXaLGsnUEgQe8HzBlTqRSx38JGNLTdtkJ9yT17vPpTGL5BWTpbCcmku8HnxlJF50KHpO\nhinahQLn5RPTYaZqJZQHms7zCdxE4OoULjcT9mPs4ZGGu6HbmNO3stzjaQJnQv8Q4G/mdGcr7Ccy\nGSXtzNxOYbbKio7nCM7cIWhLbelxLbghjdW7UJXT9x0k95DcCTvh2hUHmU/WMCVxdcVsn1nksdj1\n2KzaRPM6zKzn+8FN2wlze1FIDzJfYie8dt3sOU84mA8iX3I4Wb4QlPgy8BWRuCp7vM8vkDqZ67LJ\nuVi9vrmqwanoWEYf1ZsUBXvkbvBBTO1mQ320odsKcJ0AjxleWmaWtdY/4W7nNMZ7nAfge7CkDv4W\nkifYrWBxyKsYUkaBvA4+sGGktNXLpnruBIEf7i2iW5tlrUlQ9XjSrIRTfILEY7l12Sy67KctkplN\nMreelzqYJBQpoxxJ/eAqib8kVq+39LyPhHJOFzehnOhLfDn4ikgczBN30ed0G6GKS4eYugZumsCr\nwoliW8adV892pCgaOH2w+zGN3oZOM8SrBSfyllc/mXITTxgdJ/QWS+rjvSDvdAI/Poii40MI872w\nE87IatbkQabqRPFscBviqut2wnuIRg5rr866XWdqi6Jj9TAzSMR+8DB2Wa/b4iBzemEvir4bfA8c\nkivshHrJcWz4+KXBHtPBpY6XvBCUBF7i8+MrI3GJa3Rw3Tqo30YlcNOOFJXAVVaWIR+nWELRJ3LN\nRshNgt0XRcc9J8RDTOG+OoXHU0b7CXe7MbXZAfshySSUN6KtfjGDxQomSV4Hj9JnKR9eJ/3RXgW6\nHWh4ouBBTWVyD4dhlUW7x8R2ebRGORnlFKuPfOYHl8OqwTF0hH6j2wlNu1Gk3H0K9Kj1akWxep3A\nTdJJGasv8W3jKyXxS9BXzMq3epDnUqBHJ/B0NzhOdlpYtBdF08BxgT5UBnsqNwea/SW9WohnZ9O3\nx+wkoQyiCZ35isrsiPMmPpE3D8AYohksN2IzoSTwNZnUrHYw+xYMbRjUodUFZ5DaCVMdPL63ON5Z\nrAc1wmaXJ0tNZA6EhILPPEqdKMsOcVghDp38bvBLThSphOScKDp5y8PMS3bCIhlFJ2uTxbAo4HMp\nkVlKKCW+PLxSEjfhUpxen751CUWO1hUhoahuFJW4TTvClSm80t/T9Jd03ZAeUgfPpvABE4bJE4P9\nlNZsjf0mzrzgbyB5hGQC+zksdmIKn5F5wiW9qDKK74jNhH4Dqmqs/g64szjcCjvhstcksHoGP3if\nIPGZ713Wyw77aStzoagEbmqpV8uO4yR9gHKCPpfM1Alcbn1R4/BF2rSJaIvsgC8h5jIgVOLLwysi\ncctw6V/Xp3A9Xm+K08vPpWtobTv7UJXIU7fhaXhvodgIE7hJYJhQ627p1Bbp5B3iEuIzo8+UIWNG\nhzG30YSbxYza9ID9Jjm5UOJH2ExhE8J0DdNjfrlVRPZSJAse+paI1LdaouDBljJKul42vrNYu23C\naptHa8iTJeyEEzWReRQ6+GrT5hBWMwlFbaw3SSh6wUMSI4qOz/VknnObSNK+VkIxBX5KlHhdeAUk\nbtqJYrqNicAvuVBUlq6YCx7Um6ghTrnftQ/WIMEeRFiDiGZrTbc6P03gYgqfcsOEUfLIzU7UrHWm\na6xHTgTOg5jCNzMI0lh9QN4PDlmgp4NYbHVjQ68JDR8qqp3wDpJ7i+jWYdVrMa32FQLPsqJB4hMe\nPJa7Httli2hezfRv02rZcy09z4qOdS1cP8wsImqV4M8R+Lnk5UsOMIu+R4kSnx/v2qbwc8DfAP4W\n8DeBv1j87T9mlF6StsP56bvIRqhq4LpsotpN0sVWtpVN4E3yJC5lFNWF4gN9cPpH6v0Nnf6cbiek\nV5njIg40+2St9bfJA73VnOrjPrMRKiQeT2C9FBO49INLHVxNZJ4I3IHb9DDzVPAgW3ruLPZ3NptR\nhXm3zaSSJTInig4+i9NY/azLIWgSh5XnU7eqg+t6uAz2nMhVncQv2QlzY7zyPV5CqEVR/Gutie9i\nYSxR4tPhXSfxA/CvAL+F4Iz/FfhV4HfyN7vkIpFQ05dyVe21vzBF5A3Fh5i6C0XVRLR2HqqIhh5l\nL4p6F3X61l0o/USQuHeg0d7Qqc9xrWwKH0gCj8fcHp+4PUxohVtqj9HJB84DRE/CTrgJITxAcBQK\nhgz0kD4bWbPmIpwovTp0m1DxwZF+8FRG2Q+rrHt15s02U8tnYg3y62XjPkHsE+5c1ss2UVDLYvVq\nGlMvd5CJTFmxFqV2QlQ7oe5C0Q8y9UsnXdN0rpO8iqJJ/JpYfXmYWeLLxruS+Nv0AvEr/DuIvXe/\nU3iPHCTx6r8gknTf9xdHD/SYbISy28akf6s6eCUreFDJW95VauBKkEdO4ILEY5zegWZjTY8QNyVw\nGeYZ8cTo+MRoO2G0nmJNE6yHTAfnEXZTWIQQanZCuSNcPpwm4jWkjyh46KR2QobPY/W7fp1Z0+PJ\n7vNIZic8tfQc+wQHn/m6R7RoEAd23k5o8oWrsfqTmUQlbzVWrx9iFsXoTbF6dTuhSU4pCbfEt4MP\noYn/CPjDwG+cv5mqS0Oxretd5RddGz8X5CnqxVTthOlmQux8l5luWlHDPC4nErcGCZX+nkp/R7s7\np1ub41rhSQPvM+GGJ0Y84u8CWuEGZxpnL48P2bUPYL6FcZx3osiaNelE6SJkFNlW3/DyXvDkHo53\nFvGdxarbYNbo5ToyRaReyCiLQ4/NqsMhbBGHlXwiU5dR9A2Fp8VWkB1E6lO4qoPriUxeII8HAAAg\nAElEQVT5sby/JPBrJmp9ei762jmc+x4lSnxZeF8S7wD/OfALiF9tDb9GNh39PPB3Ioj0Y+mLRfvB\nTa08+gSuEnn61rLzRcd6B4Qa5tGmcFGxtqPpLek25+kUHuYj9cmYEU/4uxmNYJtN3/IgMz3M3C4h\n3MGEvIySpM/o1JNppdsJbeg001i92lZ/Z3G4ddgPHRa1FlPLS1t6slh9kIgNhctdj92iTTRrmCvW\n9Ib6LZmVcAvmouOiaL1es2bSwXV74KWDSt0OmBg+V4QiWaZEiY+Bn6bXu+F9SLwK/DXgPwb+uvkm\nf4rsT+L3PeRUrYPXTkeqrKKHefR6NU1CwckKHooKfQxxevwEvATLPVJr7mjbK3rMFQlFFB7fxk/c\nHsbcHiZ0Zitq4yg3gUePsAlgs4DxNtPB5UEm6aO0yf4I8G1wW2nZ8QgcLZEZjSosOx1Cp82jNWJs\nZYnMMQOmcZ9pJMqOt8s20axaLKGctROm5J2cW2x17SKrsuChxGvHj9JL4tdfdO93JXEL+KvAbwN/\n5fJNP4RLRSVkdUoq8oebEpomNtaDPTVxkIn9fHDXyx5UApcyih+Lkgd3R7Oxpusschr4EDF9j+JH\n+tsAd7kUNWtP5KbwaCza6oMNTNO9KAuyxVaW8nC6pH8ApE6UZh+qabnDaTvhvcV+WGXe6fDkDJRU\nZnaYGRx95juPxc7luKiJRGaRnVAP96gtPQk8txMWuVCO2vv65K0TuMlZomvhJhkFLr/wl5N3ia8P\n72ox/KPAPw/8SeDH6fVnPtSDuh6mjYRFqcxzq2WVTVVWI3WjkJfQ1ZtK8nbJDjF9RMGDF1H3trTd\nJd1miOvMsiRmqoHf8sDwOKazXOI8HQVxv1Gut6KlZ7WGSZy3E8qyY7Un07Ogb4NfgVYHbM2Jcryz\n2d3ZrAdVwnaHiTXIkfcpVn90WW86RLMWx1mNeO48d6AUbSY8dcBJAtUTmed2o8iJXU7dKN/jJRP2\nOY/4NVZC9WeWhF7i68C7TuL/I+/+AvARoE/dcvK/VPCgMrO0EzrCSqgP7moSUzvEPE3iLlS6B5rN\nNd1aiGuF+FaQHhsKGWUYjxkdxwy2Ac3ZDvsxzmnhh9ROOJ9DuH++2Eo+K7kf3APcKrg16PaEH9w+\nReohubXY9WusunWChsfU6jO2tFh93GcW+yy2PXaLJnFQIVH3g+v7UdTd4Ln94HFqJ9QPMvVDTL3o\nQRJ5UaDnXLBHJ+t3PcxUb1uixNeDV5DYlDARucmNYmLmevqxVrGm3lxyvXqIqV5uAj2otg60aitc\nWzvEZMyIB4bRmOF+Sn8xx5om2G+TE4EnDyJWvwhhuhIHmUGSrZeVi60qZC09A8BrCAJvDQBZdnzH\nqS9z7TaZ1lwebVHwkLMTJkIHn+59Vqsu0bwuWnqmPG+rV4nclMg82QnVomPTelmT3m2SUM71Z5Y6\neIkS8NlIXA/1vFQvV3X2cxLKpelbiVxaaUOPvkpFPcCU07cyedMDqxfjuAcc90CrtaBXDXMSirxu\nGONu5jTCPc5TnJdRUi18E8JsL/zg0okiHXtSBz/VrKUtPd0G1DyyouM7iO8t4nuLw73NstUiqPnp\nI7gh6w/ymSUiUr9bdTiETZLQMbfTqzKK+r70hCeQT2S+pODBlKTUp+wimOyApun82vuXKPF14TOS\nuHSZmKapSynPS1q4Sf8uqliTh5lk2wnlIK/uc5XrZOWlkLjdi6n2dtTdNZ3aHNd+roMPEzH/dtdL\nqpO9SGSmV/JGTOHxE2y2EBzyOrgUGmzyNWv91E7YaEPVJ9tMmNoJd3cO21GVuSW6MlVPuNxMOIs9\nVtse+3mLY1g/X+6g6+Ey2GO0E5oshab1sqbEpa5pQzHJFund1+rapZ2wxNeNL0hO0WP38q1+G0f7\nWH1flVCkJlI0gUsdPJ3A1bure8LlFC5XyvaeX07nSLOxoVuZ0bdF0fENT6dreBwziibcRlNq4UHE\n6pXp+zAWdsLVMi06js06uCx48AG/Ct0WtFui4MG+Q2RmUxll368xb7aZ2V0eyeyEMpE5OfYJoj7h\nzmO3aHI0JTLVrkw1Wq9K3LGUPkxFx6bthEVSinwRKAseSpR4CT4yiasT97W3lxZC+Vb/XibiVrVw\nkx+8qD8tbehRv5Xe1lNE3l0ho1huTLW7o91c4ksST53X8uofp3jrkN56hT1OhBdcIfH9BOYLCLaC\nR0Oynkypg8ueTCmjeFXodKHe11OZFvE9bPs1wqbLkzU4PRJZdDylLxp6ti6rVZfjvEo8O7MXRXem\nyIKHmHQCf0nRsRrmOXfpU7kusxT9m3rJIab6tkSJrxMfmcRN0/SHhC6rFLlQChKZ6hoA1RMup3Dd\nBy4llC7QTqj09lT8He3enF5thm9lBD5ULn8/oxluscY8sxLyFg4BLLYwRvDogixWD/mDTN+CGwu8\nGjS6iKLjVAtP7uBwZxHdWyx7DWaV3kkHV+2EMyVWH82aouh4ZuUn70t2wlPNmslOeE4HV2UUCZOM\ncg56+lLexyTDFN3/2tuWKPFl4xNN4qaPXzKd664TCZMDRXeimHaEywncNk/gaiOPYQIXUzhUO3ta\nrSW9xgzPntJPSfw0+x4nDOMJ3npOc7rDUgseHlI7YQDhAmapDi4ncFVGUf3gbk1cbQ+qN/kpPL61\n2fbrrLoNgobHhL6ig/dFwUPsE8Qey02X/aJBHGhFx0XReql/SzfKxaJjU09mTN6hIslUl1DOBXuu\n0cgvoSTvEq8Hn1ATV4n42l8iXS6RB5cSkn1N5F3kRJE7/ww6uOoD1wm8S74v04N6Z0e3vsCvBGmJ\nmULgyROjw5jRfkp3vsKaJLkJPH6EdQCLOUy2maNPSs4JmTAk18v201h9pwdNeYj5XXYdRw6rbodJ\nRS06HmZEnvSZHsR2wt2qlY/V6yReFKuXfJtLZJq08KKm+nPauCmJWdoJS5Q4h89wsGkVvL10H9NE\nX9SXqRq7TQSelkiorwFqJ6aUUbrKx+nnbPeI4x2o9A90GnO8SuYFV3XwQTyls15Smx1w3qaBHrkj\n/C0cn2C1gEkE0yS/F0WeCEgdXNasDRzotKDSz9sJj3fCTri5rTJvthk7A573ZPqER5fVpstu2SYK\n6kIHl5H6os2EeiLzVPCgkvilKdxUdKyTufy+KO8XOVTOfe0cSjthideHT0TiRaUN50ojzn2vog2F\netGD5gVXp3B4Xnasyigqgbezzzm9iJq3oeGt6NozPCfI6eA3TBgmEwbHKZ3FmsrjMaeDSzvhYQKr\nbdbSs0DwpKQ3qex0AdcWU3i/CrW0rV7q4NzC8dZmf+uwuqkTWl0mVj9H4GI7oWir36y7HIIWcaAd\nZF7TVn9abmWyE547zJSf03Xol+jg6n3exU6o/rwSJV4PPgGJq5LItYRdZC8s6sZU05f69K201MvH\nIR+KWrWmEHVu+pbEnh5wVroHOo0lvUrAwJJq8ySNz0wZHKcMoimDTUBtFuFIEk+dKNuJCPTMV8JO\nOEvyThR1Au+Rpvpr0G1Dqwf2LdhpsYMseNj6DcKG8II/k1DoM436BJHPfN1lt6iThNbzpVYLnpO5\n1MFPMrbUtE12wj15vftcGrNIXjFZCsupuUSJc/hEB5vXELh+W53I1RPIonZ6ffpWDzIVHVwGemo8\nl1EkiecONxNsN8byYxq9Dd3Ggr49PZU7yGbKG8b0D1O8zZxOuMYegyVTmSmJ7wIIlzDZZYOwjNUn\n5PeiuMDAEgUP7R7U5GIrpeg4uYe11yCoezxZWaT+ZCdM+oQHj8XWZb3oEM9rmRPFpH/ru1FOe1FI\nDzJfYie8dt3sOU84PJdOij5XhPKFoMTrxRdmMZRTNjz/xZOjs3SWXOMH1zRwlcRVHbzH88lbErgL\nth9T7W+p3mzptEJ6FVmxJg40B0xPyUxvG9IY73AegB/A0sqOtwux2EoveJB2Qt0PfmNlsXpGKHZC\ni8O9RXRvs6w3Caqi4EGVUISdMI3Vhx2iaRMCC2bWdRKKlFGOpH5wlcRfEqvXW3reR0I5p4ubUE70\nJV43PrHFUP085GWWogvltip5qztiC/ahnCZwJ/teql6hErZ+SXeKB7YXU+9uabfmuPUA77R9JJ3A\nkzHDeMLoOKG7WNGY7LHUtbKPIpV5CGC+gyASU7iUUdT94Ccd3IFeFXo1aHpQuUEreHBYe3XWnTpT\n21d8MakWntoJZ5HHet3mMK+RyIPMc9F61YmyBw7JFXZCveQ4Nnz80mCP6eBSx0teCEoCL/E68QXs\nTjFttFV1dAnT4WWRjKLaDKV2kn5fabyWJG3Sv6U27gF+gu0dabY2uBWxWjZH4AgCH+4njHYiVm8/\nKXbCtK1+EcBiIXoy9fWyKM9I/mHQc4QO3umKWL2llBxzD4ebKot2j4mt2gllyUNWdDzbeUTLBtHc\n4Ac3+cLlUqvTem+ZyFTXyp7bDa7LJfr7Zay+RIkPiU90sCklEkmoKonLX1w1nm/SxNXNVGq0UnWe\nqKStTfRyeJcSirw62vvKIaa0Eja8FZ1GtthKtRQOeWIQTegsVlRnUd5O+AA8igl8uckTuGonVC3q\ncjPhoArtrih4sFIXSnIH8Z3F8d5ifVMjbHW1ROYgK3iIXNarLvtlW+wHD+x8IvOSE0UqITknik7e\n8jDzkp2wSEbRydpkMSwK+FxKZJYSSolvA59ITtEDOyqKSFyXYfR0pnpwqRK4SuLp91K1inbBpVoJ\npRPF39Pw1nTckJ41w7eClMSlDj5mlDzRP0xphWuxG1xuJ0ythMkj7GciVj9J8m318tlKeb6HSGXe\n2ODXod5LCx5OqUyLQ2onXLpNAqv3vOAhLTpe7F02S6mDk5/CdflELzzeICbwBLIJ+lwyUydwuZtW\nPsNzbhMT0RbZAV9CzGVAqMS3gY9M4pKwj9rnVZI2+b1NUHPxl6ST9HtadrahUHWitJRLbipU05g+\n0E+odfZ0agtFQpmelOchY4aHCaNowmARUp1GWLLg4UEkMjdj2MxguhR+8IDnThSHbE2La0GvIQI9\nzT44Iz1Wb7F224S1No/WkCdL2AknaiIz8gkin9W6w35RM0soF4uOSXVwXUbRdfBzbhNJ2tdKKKbA\nT4kSJS7hMx1sql+zDReG+5li9DqBq3vFbUHiTiql6FN4k7y0ksoolptg+UfsQUyzvaZbm6cTeF4H\nv0me6O8D3NWC9nSD9UROB0+eBIEHKxindsI5me0aMpt6ByG/9y3oNcVBZk2ZwKWdMLpzWPVaTKt9\nhcAHJz94EPuEe2En3C1aHMNq8UGmaik0kfizomNdC9cPM4uIWiX4cwR+Lnn5kgPMou9RosTrxBey\nTzwhL7eY3CmmjYSSxJUgD3DS4R0bGtZzApcTuBrkSfeh2H5E1d9S62/pVLOiYymh3ChFD93Vgtr4\nIJwompUwHsN6JZrq9YKHI/mCBy+1Et7aYj94tU8moXwH8XcWh+9strcV5tU2k0qWyJwoOngYe6w2\nPfZhi2hah8AujtXrMsqp6Fj+95B2wqJo/bmWHlUHfwmhFrlTrpVRSi28xLeHT+ATlzlE+bE6fcNz\nS6EqiaifN7TxUCMnn+gySlUj8CbPJ3BFA8cDxz3S7KxpNxZ4dpA7yBww4SZO3SjRlPZ8S+UpyhF4\n9Cgi9ZsQwp0oeJB7UfbK/wtS3ekh7IRuTYR6qj44SqiHe9gPq6zdOvNWm6nlM0l3hJ884XE6he9c\nNivRVJ/MnHyxg6ncQSYyZcValNoJUe2EugtFP8jUL/0g0zSd6ySvomgSLwm8RAkTPgGJO5gnbZNs\nohccqxKLKU6v+L9lGMiqgpM21quR+qZyd9UjLkncBfoJFfdAq7EWBG4FaaQ+bycc7SaMtlPsWYL1\nmJyWWvEAuzEsphDOxUFmkGT7wWMyk4xcL9tD+ME7HWi7wFDRwe/FtevXmTU9nuw+j4zyRceKnXC+\n6REtGsShnckoMk6vyylqrP40RKvkrcbq9UPMohi9KVavbic0ySkl4ZYo8T74zD5xyP+Cq3FKVSaR\ns6tuIVQn9lRmsSpQtbOCY/UAU53ClZWyVj/B6R9w+ntavQXdeohnqTJKZif0dwGtcEMliDPyfgs8\nimsfikDPOM6cKBsyv4Z0OcpE5gjhRGm66WbClLyT7+CYlh2veg1mjV6uI3PKgCCVURb7Hptlh0PY\nIp5Vnhc8mLYTqtP4SQeXB5H6FK7q4LqEIj9W/1uqE7mKImfKOdfKSyfw8kWhxLeFT3CwaXqroojE\nZeJSJXG5gVDTvtX4ve1kiUzdgaJO4HL69sHyE6r9HQ1/Rbc1w7V0P/iEYTJmxCP+bkYj2D5rqU8e\nIRmnsfrd81i9fHantnpLbCYc2tBpQt0nJ6HE9xaHO4f9rcOi3mJqeaknXN1MKOyEy12P3aJNNG1k\ndsKicgdJ3FvlfWPRcVG0Xq9ZO9lZlP+Wuj3w0kGlbgdMDJ8rQpEsU6LEt4FPYDFMtI/VSVpSG+QJ\nXO6GrSpfl4SuQgZ/6mDb4tKT+Ka6NdlWn16WG9NobulVhBOlb2mLrZJJaiec0g1X1MaKDv4GogfY\nTIQbZbyF4JjfDw7Z3xQykena0G2Kg8zGUNgJc7H6YYVlt0NYafNoZUXHE0nksbATzo4e22WbSHei\nXG0nTMk7ObfY6tpFVmXBQ4kSnxqfYBKXh5tFmrgkdLXkUvrBa2QvAnoMP/0eVjqFSyuhSuCqG1Gf\nwF2w/BjbO1L19jRbK3pprN5HrVl74iYe09/OcNdLGtMd1iM5KSV6gtUMgrXYiyKLjuXuKLm6S7bV\ne4CfxuobPlTV7YT3wk64H1aZdzo82QOerBslUp+Geo4+852wEx4XNeLQMVesqVZCfTeK5NpndsIi\nF8pRe1+fvHUC16dzk2PFJKPA5cm6nLxLlIBPXs+m+8LVyIuexpRjtDq5yfflIWYFLCe/G1w9+5Qy\nihqnVyZxxztQ62+FjFKZ4dnP7YQjnriJJrQXK5zxUdgJUwlFxuqPU1ivMyeKlFAi5RnWSNfLpnbC\nYRVa3dSJIifw7+D4nc3h3mI9rBJWO0zsQY6887H6DlHYIp7aJDPFTnhpM6Fc2nKUBKonMs/tRlGL\njtX/LkdeNmGbdOxrtW1dbikJvcS3i09oMVQncXUi13sxpX9DjtT6QZnNieitGlTszImiN7Kph5ga\ngeNBpXeg2VpnB5mWoElZsTaMnxgdxwy2Aa3ZFuchzrX0HJ7gMBU9meFeFDzIxVbyIFPfD+5WhJ2w\n2xN2Qls9zLy32A1qrHp1gqbH1Oo/j9XHfWaxz2LbY7dsir0o6n5wVULRd4Pn9oPHqZ1QP8jUDzH1\nogdJ5EWBnnPBnktk/ZLDyfIQs0QJ+KQWQ5XAK8r7qngtP6/uCVcj++pcWwe7Jrzg6uAuiVxO4aqF\n0COtyknAg2r7QKu+wrVDPKSMIiSUEQ+MojGj/YSbxQxrmojdKLJm7S1s0u2E06XoyZQtPXLQlS9H\ncj94H/Aa0O1CK61Yy9kJ72DtNZnWXR5tUfCQsxOmsfrp3me17hIt6hmBq6lMnchNicyTnVAtOjat\nlzXp3SYJ5Vx/ZqmDlyjxsfCJLYb6EivICKCuPBz1sFO3Esr72mBbefVFlVD0coeUyG0vxvH3OP0D\nndYctzpLXSjKBJ6+dTdzGuEe5ym1Eyqxeh5hO88HelZkOjjk/eD91E7opk4U1U4Yp1bCw73NstUi\nqPmn7YRyc3mAzyzxWG577JYdDkGTJHDyThRd+9ZTmdITnkA+kfmSggdVwijSuItgsgOapvNr71+i\nRInPpIlL5pVyi4zBmJZfyQNQlfwrIpWpmFOeBXlMYR4PLO9IzdtS91Z0qzO8NNBzshIyFiUPjOmu\nl1Qn+2wz4Q9iAk8eIZ7Adg3zSPCo5FBJdXLnlmonHNnQ0GP1KYnv7hy2oypzS3Rlqp7wgD5BIpwo\nMlZ/DOriB0tHil7uoOvhMthjtBOaLIXndHDTgSU8J2QdRXbAay2CpZ2wRAkdn4DE5S+enMJVz59K\n2pLg1WlP1dJTArcq4FTFFK5P4NJGqB5iqlq4m+B0jzQaW7rOHM+a0bfyTpThccwomnAbiYKH2mOU\n84MfnmAzhXUoio6DY7YXRcbq5UtNB6He+BXotqDdhMowr4NzD/tBjXmrzczu8khmJ5SJzMmxTxD1\nCXceu2WTo57IVCUUPVqvStyxlD5MRcem7YRFUop8ESgLHkqU+Nz4hCQO+Sm8qf14eXh58r0pt1fr\n2JzUD249b2ZT96Goh5k9sN0jlh9Tc7e0G0s8W7UTTk8O7P5xircO6a1X2JNEJDGlG+UR9ulBZrAR\ni610O6Fa33lqq09j9fV+KqPcIg4y7yzie9gOaoRNlydLLrpVio7pM4t85luX1arLcV7N2wn1vSiS\nwFU74anoOOFlRcdqmOfcpU/lusxSROQvOcRU35YoUULiE5C4+suuk3hNuZ06MsJzrURZiGUDFSu/\n0LDITtgFugkVd0/V39Jx5/QqwcmJMsh5wsf4+xnNcIs1JjeBy1h9NIPl7jmBq3ZC1Y1yA/hVaPYQ\novjJiQKH7yyi7yyWvQazSk9r6emnRcc+i0OPzaJDNGuSBDZJoMXqL9kJTzVrJjvhOR1clVEkTDLK\nORTZAU0yTNH9r71tiRLfHj4yictfwAP5ijZ9rayc9qSarFawyUncev4lVUbRNXBlO6HlQ627p9Va\n0qvN0lRmlsgcMGF4nDKKp3jrOc3pDutN3olyeIJoKnoyw31WdKzvRZEHma4FbjWdwl2oDfJOlPjO\nZtuvs+o2CBoeE/qKDt4/FR0Hscdy02W/aBAHhp5MU7Re6t/SjXKx6NjUkxmTd6jI/5a6hHIu2HON\nRn4JJXmXKHEOppbia/FngJ8A/w/wl4pvpv75Lqdxvc1HL4WQ03qNE/mrNnO15EfVwXUCdwE/SVt6\ntnSrc3xbTOEDsp7Mm2TM8DBmtJnSn89pTHZZT+YbOL4VLT3BDKYrCA7ZFC7b6qVZUk7gfRu8FvT6\n0B5BNe3JlCR+HDmsuh0mlYEoOk5LHk5EnvSZHvoEW5/Vqs1h/g6x+hPfHiGRVkKTFl7UVF9kIzTd\nTr9PSbolSnwKvCuJO8C/hyDyPwT8c8AfLP4RkqzlvhT1z3VpyJOHnk1OBG5VxEIrKZ1UlZuoLpQC\nJ4rtRdT8LU1/Qac9F231aSKzr2wmHMbCiVIb73HexthvEkHg6XbCeAKrpSh4mKR+8P+NTEaRkSVV\nB7+xRM1aJZ3ArVMiU1gJN7dV5t02Y2egHGIOTnbC8Oiy2nTZzdpEQYN45hQXPJjkFDmF5ySUoqVW\nJifK/06x71t+X5T3TQ4Vk3vl2gNPk33xQ+GnH/j7fWn46ed+AB8ZP/3cD+CLwruS+D8A/C7i/80D\n8J8B/+Tzm8mdKFIWscimNkkg8hdVVZOlXl4Rh5jqYkM1iakWHBtI3PEj6t6ajjej15zhOWrJQ9rS\nkwhHSnexpPJ4zCUyk7Qr8zCF1RqmcdbS87fI/20hH7m0E/Yr0O4IEledKMc7m91dhdVNnbDTZeL0\ncwQuthP6zCOPzbrLIWhxDGrCE64eZl5qq9+jxeovecIlicvP/R+cJ+RLKLrPNd9HlW4+xlT/0w/8\n/b40/PRzP4CPjJ9+7gfwReFdNfGfAX5P+fj3gX/Q/O1lH5oco4+IP+ktBFnIAI+qlev2Q7JF3DKF\naapaU1t6/IRq70C7saInd6JYIpF58oBEY0bRlJt1QC2IMhJXCh62gdDBgyPM4kxCScj3L3dJnSg1\n0ZPZ6UFlBPYdORll6zcIG8ILLtKYw7wWHvUJIp/5ustuUScJrWwCV+UTncylDn6SsaWmbbIT7snr\n3aY0ZsJ5ecVkKSxDOCVKfGq8K4lf+ZuqLraS70ubm6RC9ZBTjtqydk37VpIx9bJ7U9y+A3bjSK26\no22taLOizZJOenVZ0I2XdA9Lurs1rMAKyenO0QK2K1huM65UQ4+W9rDaQLsKrRY0Cva1HFpV1tU2\nc6vHnB4LuixPV4dV3GYVtdnumxy3VVhb+Qlb3wmuJuZzZ46qJ7yoUs3k6U4wk/QlAi9j9SVKfA4U\nVdFfwj8E/JsITRzglxC/xf+OcpvfBf7AOz+yEiVKlPg28f8Cf9vH/iGV9Af9CDGI/haFB5slSpQo\nUeJLxD8O/F+IifuXPvNjKVGiRIkSJUqUKFHi28Y/jXDfHYG/T/vaLyGCQT8B/vQnflwfEleGnL4a\n/AeIxQL/p/K5PvCrwP8N/HeIY9mvFT8H/A3Ev8u/CfzF9POv5Tk2gN9ASJq/Dfxb6edfy/MD4R/4\nMfBfph+/puf2U4Sf98fA/5x+7rM+v78L+DsQvzQqif8hxD+yKkJH/13eLy36ueAgHvuPEM/lNZwF\n/CPAHyZP4v8u8K+n7/8l4N/+1A/qA+IO+HvT9zsICfAP8rqeYyt9WwH+J+CP8bqe378K/CfAr6Qf\nv6bn9v8hSFvFF/H8dBL/JfJT63+DcLh8bfiHEY9d4t9Ir68dPyJP4j9BuNtBkOBPPvUD+oj468A/\nyut8ji3gfwH+bl7P8/tZ4NeAP0k2ib+W5waCxAfa5170/D7VNPwdIhAk8fuIwNDXBlPI6Wt8Hpdw\ni5BYSN/enrnt14QfIf7q+A1e13O0EX8VPpBJR6/l+f1l4BfJBxFey3MDEbL4NeA3gX85/dyLnt+7\nhH1+FfHqoOOXyV4pr8HXGO37Gh/z++K1xDA7wF8DfgGRdVXxtT/HGCEZucB/i5haVXytz+/PIZZA\n/xj4EwW3+Vqfm8QfReTEhwhu1afui8/vXUj8T73Dfb5HHDBJ/Gz6ua8N+vP4OfJ/YbwWPCBeqN8i\ntr48ft6H896oIgj8P0LIKfD6niOIrPF/Bfz9vI7n90eAPw/8WcQBbg/x3/A1PDeJN+nbJ+C/QOyl\netHz+5hyipoG/RXgn0UEg34e+NvJTmK/Jvwm4rH/CPFc/hmyw5bXhF8B/kL6/q/gkiYAAADjSURB\nVF8gI76vERbwVxHOjb+ifP61PMcbMvdCEzFk/ZjX8fx+GTEo/TyCP/574F/gdTw3yDZBgdja8acR\nZ1Of9fn9UwjNeIN4Ffmvla/9MsLZ8RPgH/uUD+oD47WFnP5TxOLdPeK/3b+EOC3/NV6HheuPIeSG\n30KQ248RNtHX8hz/HsRm5N9CWNV+Mf38a3l+En+cbGB6Lc/t5xH/3X4LYX+VfPJanl+JEiVKlChR\nokSJEiVKlChRokSJEiVKlChRokSJEiVKlChRokSJEiVKlChRokSJEiVKlChRokSJEt8W/n8JGSd2\nHQ4qCwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e9a0f290>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "soliton.PlotKE(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Su4iIY5TYRUQcE2Z1RxGRhHPzOqhK7CLSwtxL6qCuGBER5yixi0gLcrOl7lNX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\nRERERERERERERERERERERERc9j92deAKsQnhLwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e98a4490>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import matplotlib.pyplot as plt\n",
      "n=70\n",
      "fig, axes = plt.subplots(1,1,figsize=(16,6.87))\n",
      "axes.plot(sol.x,soliton1D(sol.x,sol.t[n],vsol=3.0).real,\"b\")\n",
      "axes.plot(sol.x,sol.Psi[n].real,\"r.\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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S1Za4zjFLNH9vo77wRkwPPWS3+E2ZYqf1vvWWv2tWrI9rXNxZVcfPicCbN7ur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\nHzy2X+Ehul/LAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e106aad0>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">Ejemplo 3:</div>\n",
      "    \n",
      "Soliton 2. Para este apartado se debe tener el archivo functions.py y los archivos PsiCD.npy y PsiXD.npy"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from Polaflow import Particle,Polaflow1D\n",
      "fot=Particle()\n",
      "exc=Particle()\n",
      "pol=Polaflow1D(fot,exc)\n",
      "\n",
      "from numpy import zeros,linspace\n",
      "from functions import DCI\n",
      "J=2**7\n",
      "x=linspace(-50,50,J)\n",
      "t=linspace(0,20,2**7)\n",
      "fot.Psi0,exc.Psi0=DCI(x)\n",
      "#exc.Psi0=zeros(J)\n",
      "\n",
      "fot.name=\"Foton\"\n",
      "fot.mass=0.025\n",
      "fot.Potential=zeros(J)\n",
      "\n",
      "exc.name=\"Exciton\"\n",
      "exc.mass=2\n",
      "exc.Potential=zeros(J)\n",
      "\n",
      "pol.x=x\n",
      "pol.t=t\n",
      "pol.rabi=2.62989731\n",
      "pol.hbar=0.65731\n",
      "pol.M=10\n",
      "pol.R=10\n",
      "pol.Refresh()\n",
      "\n",
      "pol.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h03m04s|\n"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "fot.Gsummary();\n",
      "exc.Gsummary();\n",
      "pol.PlotKE(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jx9i5cyfXXXcdVWTwLxuepL0EPabRDvRQ1474thfGDwwYoJR9n9Zbbynl5Oo4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\nEIrubziIZ5fIVkF3ZB8hKxh4cxtdrJY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6DnCHgzIt0TlijwLXgAVAL2PeCiDTeL0JqOxh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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e159dd50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XiOLwtOMsBN0J3A04AWzCdScwQApwnrwOZHe3lU62q8jJ0QHAOjT67FmoUwfO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\nCIIgCIIgCIIm8R9+1HxOvScQBAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e102de50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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voXDvUnaccxIc2gKPV6Jio0Z6cC0cH4flQzA+CoVx4CQoroNNA3BJ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\nD7pRYc8Hmy2TtN4GiFW5VxDZHYWxfnh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       "text": [
        "<matplotlib.figure.Figure at 0x7f52e0f06b90>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}